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Finding the Third Proportional to 477,648 and 766,980

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Solution

The third proportional to 477,648 and 766,980 is: 1,231,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,648 : 766,980 = 766,980 : x
  2. Step 2: Convert to fraction form
    477,648/766,980 = 766,980/x
  3. Step 3: Cross multiply
    477,648x = 766,980 × 766,980
  4. Step 4: Simplify right side
    477,648x = 588,258,320,400
  5. Step 5: Solve for x
    x = 588,258,320,400/477,648
  6. Step 6: Final answer
    x = 1,231,572.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.