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Finding the Third Proportional to 298,032 and 648,624

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Solution

The third proportional to 298,032 and 648,624 is: 1,411,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,032 : 648,624 = 648,624 : x
  2. Step 2: Convert to fraction form
    298,032/648,624 = 648,624/x
  3. Step 3: Cross multiply
    298,032x = 648,624 × 648,624
  4. Step 4: Simplify right side
    298,032x = 420,713,093,376
  5. Step 5: Solve for x
    x = 420,713,093,376/298,032
  6. Step 6: Final answer
    x = 1,411,637.32

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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.