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Finding the Third Proportional to 261,955 and 572,949

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Solution

The third proportional to 261,955 and 572,949 is: 1,253,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,955 : 572,949 = 572,949 : x
  2. Step 2: Convert to fraction form
    261,955/572,949 = 572,949/x
  3. Step 3: Cross multiply
    261,955x = 572,949 × 572,949
  4. Step 4: Simplify right side
    261,955x = 328,270,556,601
  5. Step 5: Solve for x
    x = 328,270,556,601/261,955
  6. Step 6: Final answer
    x = 1,253,156.29

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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.