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Finding the Third Proportional to 251,482 and 547,352

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Solution

The third proportional to 251,482 and 547,352 is: 1,191,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,482 : 547,352 = 547,352 : x
  2. Step 2: Convert to fraction form
    251,482/547,352 = 547,352/x
  3. Step 3: Cross multiply
    251,482x = 547,352 × 547,352
  4. Step 4: Simplify right side
    251,482x = 299,594,211,904
  5. Step 5: Solve for x
    x = 299,594,211,904/251,482
  6. Step 6: Final answer
    x = 1,191,314.73

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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.