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Finding the Third Proportional to 368,031 and 553,873.50

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Solution

The third proportional to 368,031 and 553,873.50 is: 833,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,031 : 553,873.50 = 553,873.50 : x
  2. Step 2: Convert to fraction form
    368,031/553,873.50 = 553,873.50/x
  3. Step 3: Cross multiply
    368,031x = 553,873.50 × 553,873.50
  4. Step 4: Simplify right side
    368,031x = 306,775,854,002.25
  5. Step 5: Solve for x
    x = 306,775,854,002.25/368,031
  6. Step 6: Final answer
    x = 833,559.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.