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Finding the Third Proportional to 267,374 and 570,829

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Solution

The third proportional to 267,374 and 570,829 is: 1,218,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,374 : 570,829 = 570,829 : x
  2. Step 2: Convert to fraction form
    267,374/570,829 = 570,829/x
  3. Step 3: Cross multiply
    267,374x = 570,829 × 570,829
  4. Step 4: Simplify right side
    267,374x = 325,845,747,241
  5. Step 5: Solve for x
    x = 325,845,747,241/267,374
  6. Step 6: Final answer
    x = 1,218,688.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.