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Finding the Third Proportional to 508,810.50 and 747,663.75

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Solution

The third proportional to 508,810.50 and 747,663.75 is: 1,098,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,810.50 : 747,663.75 = 747,663.75 : x
  2. Step 2: Convert to fraction form
    508,810.50/747,663.75 = 747,663.75/x
  3. Step 3: Cross multiply
    508,810.50x = 747,663.75 × 747,663.75
  4. Step 4: Simplify right side
    508,810.50x = 559,001,083,064.06
  5. Step 5: Solve for x
    x = 559,001,083,064.06/508,810.50
  6. Step 6: Final answer
    x = 1,098,642.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.