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Finding the Third Proportional to 214,660.13 and 466,210.69

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Solution

The third proportional to 214,660.13 and 466,210.69 is: 1,012,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,660.13 : 466,210.69 = 466,210.69 : x
  2. Step 2: Convert to fraction form
    214,660.13/466,210.69 = 466,210.69/x
  3. Step 3: Cross multiply
    214,660.13x = 466,210.69 × 466,210.69
  4. Step 4: Simplify right side
    214,660.13x = 217,352,405,139.22
  5. Step 5: Solve for x
    x = 217,352,405,139.22/214,660.13
  6. Step 6: Final answer
    x = 1,012,542.06

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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.