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Finding the Third Proportional to 401,474 and 872,932

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Solution

The third proportional to 401,474 and 872,932 is: 1,898,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,474 : 872,932 = 872,932 : x
  2. Step 2: Convert to fraction form
    401,474/872,932 = 872,932/x
  3. Step 3: Cross multiply
    401,474x = 872,932 × 872,932
  4. Step 4: Simplify right side
    401,474x = 762,010,276,624
  5. Step 5: Solve for x
    x = 762,010,276,624/401,474
  6. Step 6: Final answer
    x = 1,898,031.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.