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Finding the Third Proportional to 473,772 and 625,986

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Solution

The third proportional to 473,772 and 625,986 is: 827,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,772 : 625,986 = 625,986 : x
  2. Step 2: Convert to fraction form
    473,772/625,986 = 625,986/x
  3. Step 3: Cross multiply
    473,772x = 625,986 × 625,986
  4. Step 4: Simplify right side
    473,772x = 391,858,472,196
  5. Step 5: Solve for x
    x = 391,858,472,196/473,772
  6. Step 6: Final answer
    x = 827,103.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.