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Finding the Third Proportional to 298,937,767.50 and 652,271,962.50

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Solution

The third proportional to 298,937,767.50 and 652,271,962.50 is: 1,423,235,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,937,767.50 : 652,271,962.50 = 652,271,962.50 : x
  2. Step 2: Convert to fraction form
    298,937,767.50/652,271,962.50 = 652,271,962.50/x
  3. Step 3: Cross multiply
    298,937,767.50x = 652,271,962.50 × 652,271,962.50
  4. Step 4: Simplify right side
    298,937,767.50x = 425,458,713,063,601,408
  5. Step 5: Solve for x
    x = 425,458,713,063,601,408/298,937,767.50
  6. Step 6: Final answer
    x = 1,423,235,065.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.