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Finding the Third Proportional to 251,757 and 532,674

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Solution

The third proportional to 251,757 and 532,674 is: 1,127,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,757 : 532,674 = 532,674 : x
  2. Step 2: Convert to fraction form
    251,757/532,674 = 532,674/x
  3. Step 3: Cross multiply
    251,757x = 532,674 × 532,674
  4. Step 4: Simplify right side
    251,757x = 283,741,590,276
  5. Step 5: Solve for x
    x = 283,741,590,276/251,757
  6. Step 6: Final answer
    x = 1,127,045.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.