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Finding the Third Proportional to 228,862.13 and 501,321.38

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Solution

The third proportional to 228,862.13 and 501,321.38 is: 1,098,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,862.13 : 501,321.38 = 501,321.38 : x
  2. Step 2: Convert to fraction form
    228,862.13/501,321.38 = 501,321.38/x
  3. Step 3: Cross multiply
    228,862.13x = 501,321.38 × 501,321.38
  4. Step 4: Simplify right side
    228,862.13x = 251,323,121,031.89
  5. Step 5: Solve for x
    x = 251,323,121,031.89/228,862.13
  6. Step 6: Final answer
    x = 1,098,142.04

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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.