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Finding the Third Proportional to 413,926 and 632,919

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Solution

The third proportional to 413,926 and 632,919 is: 967,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,926 : 632,919 = 632,919 : x
  2. Step 2: Convert to fraction form
    413,926/632,919 = 632,919/x
  3. Step 3: Cross multiply
    413,926x = 632,919 × 632,919
  4. Step 4: Simplify right side
    413,926x = 400,586,460,561
  5. Step 5: Solve for x
    x = 400,586,460,561/413,926
  6. Step 6: Final answer
    x = 967,773.13

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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.