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Finding the Third Proportional to 461,781.63 and 690,827.17

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Solution

The third proportional to 461,781.63 and 690,827.17 is: 1,033,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,781.63 : 690,827.17 = 690,827.17 : x
  2. Step 2: Convert to fraction form
    461,781.63/690,827.17 = 690,827.17/x
  3. Step 3: Cross multiply
    461,781.63x = 690,827.17 × 690,827.17
  4. Step 4: Simplify right side
    461,781.63x = 477,242,176,003.68
  5. Step 5: Solve for x
    x = 477,242,176,003.68/461,781.63
  6. Step 6: Final answer
    x = 1,033,480.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.