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Finding the Third Proportional to 401,476 and 600,882

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Solution

The third proportional to 401,476 and 600,882 is: 899,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,476 : 600,882 = 600,882 : x
  2. Step 2: Convert to fraction form
    401,476/600,882 = 600,882/x
  3. Step 3: Cross multiply
    401,476x = 600,882 × 600,882
  4. Step 4: Simplify right side
    401,476x = 361,059,177,924
  5. Step 5: Solve for x
    x = 361,059,177,924/401,476
  6. Step 6: Final answer
    x = 899,329.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.