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Finding the Third Proportional to 321,635.25 and 471,708

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Solution

The third proportional to 321,635.25 and 471,708 is: 691,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,635.25 : 471,708 = 471,708 : x
  2. Step 2: Convert to fraction form
    321,635.25/471,708 = 471,708/x
  3. Step 3: Cross multiply
    321,635.25x = 471,708 × 471,708
  4. Step 4: Simplify right side
    321,635.25x = 222,508,437,264
  5. Step 5: Solve for x
    x = 222,508,437,264/321,635.25
  6. Step 6: Final answer
    x = 691,803.64

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