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Finding the Third Proportional to 321,595 and 472,757

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Solution

The third proportional to 321,595 and 472,757 is: 694,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,595 : 472,757 = 472,757 : x
  2. Step 2: Convert to fraction form
    321,595/472,757 = 472,757/x
  3. Step 3: Cross multiply
    321,595x = 472,757 × 472,757
  4. Step 4: Simplify right side
    321,595x = 223,499,181,049
  5. Step 5: Solve for x
    x = 223,499,181,049/321,595
  6. Step 6: Final answer
    x = 694,970.94

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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.