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Finding the Third Proportional to 508,214.50 and 748,243.50

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Solution

The third proportional to 508,214.50 and 748,243.50 is: 1,101,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,214.50 : 748,243.50 = 748,243.50 : x
  2. Step 2: Convert to fraction form
    508,214.50/748,243.50 = 748,243.50/x
  3. Step 3: Cross multiply
    508,214.50x = 748,243.50 × 748,243.50
  4. Step 4: Simplify right side
    508,214.50x = 559,868,335,292.25
  5. Step 5: Solve for x
    x = 559,868,335,292.25/508,214.50
  6. Step 6: Final answer
    x = 1,101,637.86

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