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Finding the Third Proportional to 224,694 and 477,090

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Solution

The third proportional to 224,694 and 477,090 is: 1,012,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,694 : 477,090 = 477,090 : x
  2. Step 2: Convert to fraction form
    224,694/477,090 = 477,090/x
  3. Step 3: Cross multiply
    224,694x = 477,090 × 477,090
  4. Step 4: Simplify right side
    224,694x = 227,614,868,100
  5. Step 5: Solve for x
    x = 227,614,868,100/224,694
  6. Step 6: Final answer
    x = 1,012,999.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.