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Finding the Third Proportional to 251,829 and 550,314

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Solution

The third proportional to 251,829 and 550,314 is: 1,202,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,829 : 550,314 = 550,314 : x
  2. Step 2: Convert to fraction form
    251,829/550,314 = 550,314/x
  3. Step 3: Cross multiply
    251,829x = 550,314 × 550,314
  4. Step 4: Simplify right side
    251,829x = 302,845,498,596
  5. Step 5: Solve for x
    x = 302,845,498,596/251,829
  6. Step 6: Final answer
    x = 1,202,583.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.