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Finding the Third Proportional to 251,541 and 392,625

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Solution

The third proportional to 251,541 and 392,625 is: 612,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,541 : 392,625 = 392,625 : x
  2. Step 2: Convert to fraction form
    251,541/392,625 = 392,625/x
  3. Step 3: Cross multiply
    251,541x = 392,625 × 392,625
  4. Step 4: Simplify right side
    251,541x = 154,154,390,625
  5. Step 5: Solve for x
    x = 154,154,390,625/251,541
  6. Step 6: Final answer
    x = 612,840.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.