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Finding the Third Proportional to 217,219.50 and 322,444.50

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Solution

The third proportional to 217,219.50 and 322,444.50 is: 478,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,219.50 : 322,444.50 = 322,444.50 : x
  2. Step 2: Convert to fraction form
    217,219.50/322,444.50 = 322,444.50/x
  3. Step 3: Cross multiply
    217,219.50x = 322,444.50 × 322,444.50
  4. Step 4: Simplify right side
    217,219.50x = 103,970,455,580.25
  5. Step 5: Solve for x
    x = 103,970,455,580.25/217,219.50
  6. Step 6: Final answer
    x = 478,642.37

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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.