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Finding the Third Proportional to 267,930 and 572,706

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Solution

The third proportional to 267,930 and 572,706 is: 1,224,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,930 : 572,706 = 572,706 : x
  2. Step 2: Convert to fraction form
    267,930/572,706 = 572,706/x
  3. Step 3: Cross multiply
    267,930x = 572,706 × 572,706
  4. Step 4: Simplify right side
    267,930x = 327,992,162,436
  5. Step 5: Solve for x
    x = 327,992,162,436/267,930
  6. Step 6: Final answer
    x = 1,224,171.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.