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Finding the Third Proportional to 267,465 and 587,410

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Solution

The third proportional to 267,465 and 587,410 is: 1,290,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,465 : 587,410 = 587,410 : x
  2. Step 2: Convert to fraction form
    267,465/587,410 = 587,410/x
  3. Step 3: Cross multiply
    267,465x = 587,410 × 587,410
  4. Step 4: Simplify right side
    267,465x = 345,050,508,100
  5. Step 5: Solve for x
    x = 345,050,508,100/267,465
  6. Step 6: Final answer
    x = 1,290,077.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.