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Finding the Third Proportional to 247,900 and 510,472

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Solution

The third proportional to 247,900 and 510,472 is: 1,051,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,900 : 510,472 = 510,472 : x
  2. Step 2: Convert to fraction form
    247,900/510,472 = 510,472/x
  3. Step 3: Cross multiply
    247,900x = 510,472 × 510,472
  4. Step 4: Simplify right side
    247,900x = 260,581,662,784
  5. Step 5: Solve for x
    x = 260,581,662,784/247,900
  6. Step 6: Final answer
    x = 1,051,156.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.