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Finding the Third Proportional to 413,150 and 875,908

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Solution

The third proportional to 413,150 and 875,908 is: 1,856,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,150 : 875,908 = 875,908 : x
  2. Step 2: Convert to fraction form
    413,150/875,908 = 875,908/x
  3. Step 3: Cross multiply
    413,150x = 875,908 × 875,908
  4. Step 4: Simplify right side
    413,150x = 767,214,824,464
  5. Step 5: Solve for x
    x = 767,214,824,464/413,150
  6. Step 6: Final answer
    x = 1,856,988.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.