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Finding the Third Proportional to 261,127.13 and 571,461.75

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Solution

The third proportional to 261,127.13 and 571,461.75 is: 1,250,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,127.13 : 571,461.75 = 571,461.75 : x
  2. Step 2: Convert to fraction form
    261,127.13/571,461.75 = 571,461.75/x
  3. Step 3: Cross multiply
    261,127.13x = 571,461.75 × 571,461.75
  4. Step 4: Simplify right side
    261,127.13x = 326,568,531,713.06
  5. Step 5: Solve for x
    x = 326,568,531,713.06/261,127.13
  6. Step 6: Final answer
    x = 1,250,611.29

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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.