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Finding the Third Proportional to 214,363.13 and 462,624.75

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Solution

The third proportional to 214,363.13 and 462,624.75 is: 998,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,363.13 : 462,624.75 = 462,624.75 : x
  2. Step 2: Convert to fraction form
    214,363.13/462,624.75 = 462,624.75/x
  3. Step 3: Cross multiply
    214,363.13x = 462,624.75 × 462,624.75
  4. Step 4: Simplify right side
    214,363.13x = 214,021,659,312.56
  5. Step 5: Solve for x
    x = 214,021,659,312.56/214,363.13
  6. Step 6: Final answer
    x = 998,407.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.