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Finding the Third Proportional to 466,868 and 731,609

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Solution

The third proportional to 466,868 and 731,609 is: 1,146,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,868 : 731,609 = 731,609 : x
  2. Step 2: Convert to fraction form
    466,868/731,609 = 731,609/x
  3. Step 3: Cross multiply
    466,868x = 731,609 × 731,609
  4. Step 4: Simplify right side
    466,868x = 535,251,728,881
  5. Step 5: Solve for x
    x = 535,251,728,881/466,868
  6. Step 6: Final answer
    x = 1,146,473.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.