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Finding the Third Proportional to 461,648 and 690,627

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Solution

The third proportional to 461,648 and 690,627 is: 1,033,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,648 : 690,627 = 690,627 : x
  2. Step 2: Convert to fraction form
    461,648/690,627 = 690,627/x
  3. Step 3: Cross multiply
    461,648x = 690,627 × 690,627
  4. Step 4: Simplify right side
    461,648x = 476,965,653,129
  5. Step 5: Solve for x
    x = 476,965,653,129/461,648
  6. Step 6: Final answer
    x = 1,033,180.37

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