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Finding the Third Proportional to 415,516 and 650,898

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Solution

The third proportional to 415,516 and 650,898 is: 1,019,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,516 : 650,898 = 650,898 : x
  2. Step 2: Convert to fraction form
    415,516/650,898 = 650,898/x
  3. Step 3: Cross multiply
    415,516x = 650,898 × 650,898
  4. Step 4: Simplify right side
    415,516x = 423,668,206,404
  5. Step 5: Solve for x
    x = 423,668,206,404/415,516
  6. Step 6: Final answer
    x = 1,019,619.48

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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.