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Finding the Third Proportional to 261,973 and 572,982

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Solution

The third proportional to 261,973 and 572,982 is: 1,253,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,973 : 572,982 = 572,982 : x
  2. Step 2: Convert to fraction form
    261,973/572,982 = 572,982/x
  3. Step 3: Cross multiply
    261,973x = 572,982 × 572,982
  4. Step 4: Simplify right side
    261,973x = 328,308,372,324
  5. Step 5: Solve for x
    x = 328,308,372,324/261,973
  6. Step 6: Final answer
    x = 1,253,214.54

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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.