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Finding the Third Proportional to 472,108.50 and 748,707.75

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Solution

The third proportional to 472,108.50 and 748,707.75 is: 1,187,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,108.50 : 748,707.75 = 748,707.75 : x
  2. Step 2: Convert to fraction form
    472,108.50/748,707.75 = 748,707.75/x
  3. Step 3: Cross multiply
    472,108.50x = 748,707.75 × 748,707.75
  4. Step 4: Simplify right side
    472,108.50x = 560,563,294,910.06
  5. Step 5: Solve for x
    x = 560,563,294,910.06/472,108.50
  6. Step 6: Final answer
    x = 1,187,361.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.