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Finding the Third Proportional to 214,809.75 and 462,902.06

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Solution

The third proportional to 214,809.75 and 462,902.06 is: 997,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,809.75 : 462,902.06 = 462,902.06 : x
  2. Step 2: Convert to fraction form
    214,809.75/462,902.06 = 462,902.06/x
  3. Step 3: Cross multiply
    214,809.75x = 462,902.06 × 462,902.06
  4. Step 4: Simplify right side
    214,809.75x = 214,278,319,466.75
  5. Step 5: Solve for x
    x = 214,278,319,466.75/214,809.75
  6. Step 6: Final answer
    x = 997,526.04

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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.