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Finding the Third Proportional to 218,172 and 477,048

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Solution

The third proportional to 218,172 and 477,048 is: 1,043,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,172 : 477,048 = 477,048 : x
  2. Step 2: Convert to fraction form
    218,172/477,048 = 477,048/x
  3. Step 3: Cross multiply
    218,172x = 477,048 × 477,048
  4. Step 4: Simplify right side
    218,172x = 227,574,794,304
  5. Step 5: Solve for x
    x = 227,574,794,304/218,172
  6. Step 6: Final answer
    x = 1,043,098.08

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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.