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Finding the Third Proportional to 267,382 and 578,396

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Solution

The third proportional to 267,382 and 578,396 is: 1,251,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,382 : 578,396 = 578,396 : x
  2. Step 2: Convert to fraction form
    267,382/578,396 = 578,396/x
  3. Step 3: Cross multiply
    267,382x = 578,396 × 578,396
  4. Step 4: Simplify right side
    267,382x = 334,541,932,816
  5. Step 5: Solve for x
    x = 334,541,932,816/267,382
  6. Step 6: Final answer
    x = 1,251,175.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.