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Finding the Third Proportional to 466,074 and 698,868

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Solution

The third proportional to 466,074 and 698,868 is: 1,047,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,074 : 698,868 = 698,868 : x
  2. Step 2: Convert to fraction form
    466,074/698,868 = 698,868/x
  3. Step 3: Cross multiply
    466,074x = 698,868 × 698,868
  4. Step 4: Simplify right side
    466,074x = 488,416,481,424
  5. Step 5: Solve for x
    x = 488,416,481,424/466,074
  6. Step 6: Final answer
    x = 1,047,937.63

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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.