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Finding the Third Proportional to 272,671 and 570,397

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Solution

The third proportional to 272,671 and 570,397 is: 1,193,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,671 : 570,397 = 570,397 : x
  2. Step 2: Convert to fraction form
    272,671/570,397 = 570,397/x
  3. Step 3: Cross multiply
    272,671x = 570,397 × 570,397
  4. Step 4: Simplify right side
    272,671x = 325,352,737,609
  5. Step 5: Solve for x
    x = 325,352,737,609/272,671
  6. Step 6: Final answer
    x = 1,193,206.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.