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Finding the Third Proportional to 413,930 and 632,926

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Solution

The third proportional to 413,930 and 632,926 is: 967,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,930 : 632,926 = 632,926 : x
  2. Step 2: Convert to fraction form
    413,930/632,926 = 632,926/x
  3. Step 3: Cross multiply
    413,930x = 632,926 × 632,926
  4. Step 4: Simplify right side
    413,930x = 400,595,321,476
  5. Step 5: Solve for x
    x = 400,595,321,476/413,930
  6. Step 6: Final answer
    x = 967,785.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.