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Finding the Third Proportional to 717,550 and 974,932

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Solution

The third proportional to 717,550 and 974,932 is: 1,324,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,550 : 974,932 = 974,932 : x
  2. Step 2: Convert to fraction form
    717,550/974,932 = 974,932/x
  3. Step 3: Cross multiply
    717,550x = 974,932 × 974,932
  4. Step 4: Simplify right side
    717,550x = 950,492,404,624
  5. Step 5: Solve for x
    x = 950,492,404,624/717,550
  6. Step 6: Final answer
    x = 1,324,635.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.