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Finding the Third Proportional to 508,213.50 and 748,242

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Solution

The third proportional to 508,213.50 and 748,242 is: 1,101,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,213.50 : 748,242 = 748,242 : x
  2. Step 2: Convert to fraction form
    508,213.50/748,242 = 748,242/x
  3. Step 3: Cross multiply
    508,213.50x = 748,242 × 748,242
  4. Step 4: Simplify right side
    508,213.50x = 559,866,090,564
  5. Step 5: Solve for x
    x = 559,866,090,564/508,213.50
  6. Step 6: Final answer
    x = 1,101,635.61

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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.