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Finding the Third Proportional to 214,781.63 and 462,763.13

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Solution

The third proportional to 214,781.63 and 462,763.13 is: 997,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,781.63 : 462,763.13 = 462,763.13 : x
  2. Step 2: Convert to fraction form
    214,781.63/462,763.13 = 462,763.13/x
  3. Step 3: Cross multiply
    214,781.63x = 462,763.13 × 462,763.13
  4. Step 4: Simplify right side
    214,781.63x = 214,149,709,859.77
  5. Step 5: Solve for x
    x = 214,149,709,859.77/214,781.63
  6. Step 6: Final answer
    x = 997,057.87

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Why These Related Problems?

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