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Finding the Third Proportional to 502,774.50 and 758,859

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Solution

The third proportional to 502,774.50 and 758,859 is: 1,145,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,774.50 : 758,859 = 758,859 : x
  2. Step 2: Convert to fraction form
    502,774.50/758,859 = 758,859/x
  3. Step 3: Cross multiply
    502,774.50x = 758,859 × 758,859
  4. Step 4: Simplify right side
    502,774.50x = 575,866,981,881
  5. Step 5: Solve for x
    x = 575,866,981,881/502,774.50
  6. Step 6: Final answer
    x = 1,145,378.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.