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Finding the Third Proportional to 317,821.22 and 471,233.95

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Solution

The third proportional to 317,821.22 and 471,233.95 is: 698,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,821.22 : 471,233.95 = 471,233.95 : x
  2. Step 2: Convert to fraction form
    317,821.22/471,233.95 = 471,233.95/x
  3. Step 3: Cross multiply
    317,821.22x = 471,233.95 × 471,233.95
  4. Step 4: Simplify right side
    317,821.22x = 222,061,438,577.82
  5. Step 5: Solve for x
    x = 222,061,438,577.82/317,821.22
  6. Step 6: Final answer
    x = 698,699.22

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.