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Finding the Third Proportional to 321,597 and 472,766

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Solution

The third proportional to 321,597 and 472,766 is: 694,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,597 : 472,766 = 472,766 : x
  2. Step 2: Convert to fraction form
    321,597/472,766 = 472,766/x
  3. Step 3: Cross multiply
    321,597x = 472,766 × 472,766
  4. Step 4: Simplify right side
    321,597x = 223,507,690,756
  5. Step 5: Solve for x
    x = 223,507,690,756/321,597
  6. Step 6: Final answer
    x = 694,993.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.