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Finding the Third Proportional to 218,372 and 477,478

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Solution

The third proportional to 218,372 and 477,478 is: 1,044,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,372 : 477,478 = 477,478 : x
  2. Step 2: Convert to fraction form
    218,372/477,478 = 477,478/x
  3. Step 3: Cross multiply
    218,372x = 477,478 × 477,478
  4. Step 4: Simplify right side
    218,372x = 227,985,240,484
  5. Step 5: Solve for x
    x = 227,985,240,484/218,372
  6. Step 6: Final answer
    x = 1,044,022.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.