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Finding the Third Proportional to 502,336 and 724,872

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Solution

The third proportional to 502,336 and 724,872 is: 1,045,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,336 : 724,872 = 724,872 : x
  2. Step 2: Convert to fraction form
    502,336/724,872 = 724,872/x
  3. Step 3: Cross multiply
    502,336x = 724,872 × 724,872
  4. Step 4: Simplify right side
    502,336x = 525,439,416,384
  5. Step 5: Solve for x
    x = 525,439,416,384/502,336
  6. Step 6: Final answer
    x = 1,045,991.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.