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Finding the Third Proportional to 217,409.06 and 466,970.06

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Solution

The third proportional to 217,409.06 and 466,970.06 is: 1,002,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,409.06 : 466,970.06 = 466,970.06 : x
  2. Step 2: Convert to fraction form
    217,409.06/466,970.06 = 466,970.06/x
  3. Step 3: Cross multiply
    217,409.06x = 466,970.06 × 466,970.06
  4. Step 4: Simplify right side
    217,409.06x = 218,061,039,271.25
  5. Step 5: Solve for x
    x = 218,061,039,271.25/217,409.06
  6. Step 6: Final answer
    x = 1,002,998.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.