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Finding the Third Proportional to 502,294.50 and 765,234

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Solution

The third proportional to 502,294.50 and 765,234 is: 1,165,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,294.50 : 765,234 = 765,234 : x
  2. Step 2: Convert to fraction form
    502,294.50/765,234 = 765,234/x
  3. Step 3: Cross multiply
    502,294.50x = 765,234 × 765,234
  4. Step 4: Simplify right side
    502,294.50x = 585,583,074,756
  5. Step 5: Solve for x
    x = 585,583,074,756/502,294.50
  6. Step 6: Final answer
    x = 1,165,816.22

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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.