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Finding the Third Proportional to 251,290 and 546,902

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Solution

The third proportional to 251,290 and 546,902 is: 1,190,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,290 : 546,902 = 546,902 : x
  2. Step 2: Convert to fraction form
    251,290/546,902 = 546,902/x
  3. Step 3: Cross multiply
    251,290x = 546,902 × 546,902
  4. Step 4: Simplify right side
    251,290x = 299,101,797,604
  5. Step 5: Solve for x
    x = 299,101,797,604/251,290
  6. Step 6: Final answer
    x = 1,190,265.42

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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.