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Finding the Third Proportional to 502,594 and 765,737

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Solution

The third proportional to 502,594 and 765,737 is: 1,166,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,594 : 765,737 = 765,737 : x
  2. Step 2: Convert to fraction form
    502,594/765,737 = 765,737/x
  3. Step 3: Cross multiply
    502,594x = 765,737 × 765,737
  4. Step 4: Simplify right side
    502,594x = 586,353,153,169
  5. Step 5: Solve for x
    x = 586,353,153,169/502,594
  6. Step 6: Final answer
    x = 1,166,653.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.