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Finding the Third Proportional to 516,458.25 and 1,107,625.50

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Solution

The third proportional to 516,458.25 and 1,107,625.50 is: 2,375,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,458.25 : 1,107,625.50 = 1,107,625.50 : x
  2. Step 2: Convert to fraction form
    516,458.25/1,107,625.50 = 1,107,625.50/x
  3. Step 3: Cross multiply
    516,458.25x = 1,107,625.50 × 1,107,625.50
  4. Step 4: Simplify right side
    516,458.25x = 1,226,834,248,250.25
  5. Step 5: Solve for x
    x = 1,226,834,248,250.25/516,458.25
  6. Step 6: Final answer
    x = 2,375,476.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.