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Finding the Third Proportional to 417,281 and 650,298

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Solution

The third proportional to 417,281 and 650,298 is: 1,013,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,281 : 650,298 = 650,298 : x
  2. Step 2: Convert to fraction form
    417,281/650,298 = 650,298/x
  3. Step 3: Cross multiply
    417,281x = 650,298 × 650,298
  4. Step 4: Simplify right side
    417,281x = 422,887,488,804
  5. Step 5: Solve for x
    x = 422,887,488,804/417,281
  6. Step 6: Final answer
    x = 1,013,435.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.