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Finding the Third Proportional to 214,628.06 and 466,160.06

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Solution

The third proportional to 214,628.06 and 466,160.06 is: 1,012,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,628.06 : 466,160.06 = 466,160.06 : x
  2. Step 2: Convert to fraction form
    214,628.06/466,160.06 = 466,160.06/x
  3. Step 3: Cross multiply
    214,628.06x = 466,160.06 × 466,160.06
  4. Step 4: Simplify right side
    214,628.06x = 217,305,203,870.00
  5. Step 5: Solve for x
    x = 217,305,203,870.00/214,628.06
  6. Step 6: Final answer
    x = 1,012,473.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.