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Finding the Third Proportional to 415,268 and 650,581

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Solution

The third proportional to 415,268 and 650,581 is: 1,019,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,268 : 650,581 = 650,581 : x
  2. Step 2: Convert to fraction form
    415,268/650,581 = 650,581/x
  3. Step 3: Cross multiply
    415,268x = 650,581 × 650,581
  4. Step 4: Simplify right side
    415,268x = 423,255,637,561
  5. Step 5: Solve for x
    x = 423,255,637,561/415,268
  6. Step 6: Final answer
    x = 1,019,234.90

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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.