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Finding the Third Proportional to 261,151 and 571,504

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Solution

The third proportional to 261,151 and 571,504 is: 1,250,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,151 : 571,504 = 571,504 : x
  2. Step 2: Convert to fraction form
    261,151/571,504 = 571,504/x
  3. Step 3: Cross multiply
    261,151x = 571,504 × 571,504
  4. Step 4: Simplify right side
    261,151x = 326,616,822,016
  5. Step 5: Solve for x
    x = 326,616,822,016/261,151
  6. Step 6: Final answer
    x = 1,250,681.87

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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.