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Finding the Third Proportional to 461,565 and 698,712.75

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Solution

The third proportional to 461,565 and 698,712.75 is: 1,057,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,565 : 698,712.75 = 698,712.75 : x
  2. Step 2: Convert to fraction form
    461,565/698,712.75 = 698,712.75/x
  3. Step 3: Cross multiply
    461,565x = 698,712.75 × 698,712.75
  4. Step 4: Simplify right side
    461,565x = 488,199,507,012.56
  5. Step 5: Solve for x
    x = 488,199,507,012.56/461,565
  6. Step 6: Final answer
    x = 1,057,704.78

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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.