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Finding the Third Proportional to 280,331 and 597,363

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Solution

The third proportional to 280,331 and 597,363 is: 1,272,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,331 : 597,363 = 597,363 : x
  2. Step 2: Convert to fraction form
    280,331/597,363 = 597,363/x
  3. Step 3: Cross multiply
    280,331x = 597,363 × 597,363
  4. Step 4: Simplify right side
    280,331x = 356,842,553,769
  5. Step 5: Solve for x
    x = 356,842,553,769/280,331
  6. Step 6: Final answer
    x = 1,272,932.90

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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.