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Finding the Third Proportional to 466,872 and 731,615

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Solution

The third proportional to 466,872 and 731,615 is: 1,146,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,872 : 731,615 = 731,615 : x
  2. Step 2: Convert to fraction form
    466,872/731,615 = 731,615/x
  3. Step 3: Cross multiply
    466,872x = 731,615 × 731,615
  4. Step 4: Simplify right side
    466,872x = 535,260,508,225
  5. Step 5: Solve for x
    x = 535,260,508,225/466,872
  6. Step 6: Final answer
    x = 1,146,482.35

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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.