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Finding the Third Proportional to 285,344 and 607,552

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Solution

The third proportional to 285,344 and 607,552 is: 1,293,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,344 : 607,552 = 607,552 : x
  2. Step 2: Convert to fraction form
    285,344/607,552 = 607,552/x
  3. Step 3: Cross multiply
    285,344x = 607,552 × 607,552
  4. Step 4: Simplify right side
    285,344x = 369,119,432,704
  5. Step 5: Solve for x
    x = 369,119,432,704/285,344
  6. Step 6: Final answer
    x = 1,293,594.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.