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Finding the Third Proportional to 251,894 and 377,686

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Solution

The third proportional to 251,894 and 377,686 is: 566,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,894 : 377,686 = 377,686 : x
  2. Step 2: Convert to fraction form
    251,894/377,686 = 377,686/x
  3. Step 3: Cross multiply
    251,894x = 377,686 × 377,686
  4. Step 4: Simplify right side
    251,894x = 142,646,714,596
  5. Step 5: Solve for x
    x = 142,646,714,596/251,894
  6. Step 6: Final answer
    x = 566,296.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.