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Finding the Third Proportional to 461,634.75 and 690,606.56

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Solution

The third proportional to 461,634.75 and 690,606.56 is: 1,033,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,634.75 : 690,606.56 = 690,606.56 : x
  2. Step 2: Convert to fraction form
    461,634.75/690,606.56 = 690,606.56/x
  3. Step 3: Cross multiply
    461,634.75x = 690,606.56 × 690,606.56
  4. Step 4: Simplify right side
    461,634.75x = 476,937,424,168.07
  5. Step 5: Solve for x
    x = 476,937,424,168.07/461,634.75
  6. Step 6: Final answer
    x = 1,033,148.88

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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.