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Finding the Third Proportional to 267,360 and 578,352

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Solution

The third proportional to 267,360 and 578,352 is: 1,251,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,360 : 578,352 = 578,352 : x
  2. Step 2: Convert to fraction form
    267,360/578,352 = 578,352/x
  3. Step 3: Cross multiply
    267,360x = 578,352 × 578,352
  4. Step 4: Simplify right side
    267,360x = 334,491,035,904
  5. Step 5: Solve for x
    x = 334,491,035,904/267,360
  6. Step 6: Final answer
    x = 1,251,088.55

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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.