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Finding the Third Proportional to 461,527.88 and 698,442.75

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Solution

The third proportional to 461,527.88 and 698,442.75 is: 1,056,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,527.88 : 698,442.75 = 698,442.75 : x
  2. Step 2: Convert to fraction form
    461,527.88/698,442.75 = 698,442.75/x
  3. Step 3: Cross multiply
    461,527.88x = 698,442.75 × 698,442.75
  4. Step 4: Simplify right side
    461,527.88x = 487,822,275,027.56
  5. Step 5: Solve for x
    x = 487,822,275,027.56/461,527.88
  6. Step 6: Final answer
    x = 1,056,972.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.