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Finding the Third Proportional to 474,677.72 and 735,201.56

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Solution

The third proportional to 474,677.72 and 735,201.56 is: 1,138,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,677.72 : 735,201.56 = 735,201.56 : x
  2. Step 2: Convert to fraction form
    474,677.72/735,201.56 = 735,201.56/x
  3. Step 3: Cross multiply
    474,677.72x = 735,201.56 × 735,201.56
  4. Step 4: Simplify right side
    474,677.72x = 540,521,337,502.44
  5. Step 5: Solve for x
    x = 540,521,337,502.44/474,677.72
  6. Step 6: Final answer
    x = 1,138,712.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.