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Finding the Third Proportional to 267,817 and 583,708

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Solution

The third proportional to 267,817 and 583,708 is: 1,272,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,817 : 583,708 = 583,708 : x
  2. Step 2: Convert to fraction form
    267,817/583,708 = 583,708/x
  3. Step 3: Cross multiply
    267,817x = 583,708 × 583,708
  4. Step 4: Simplify right side
    267,817x = 340,715,029,264
  5. Step 5: Solve for x
    x = 340,715,029,264/267,817
  6. Step 6: Final answer
    x = 1,272,193.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.