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Finding the Third Proportional to 220,006.13 and 463,656.75

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Solution

The third proportional to 220,006.13 and 463,656.75 is: 977,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,006.13 : 463,656.75 = 463,656.75 : x
  2. Step 2: Convert to fraction form
    220,006.13/463,656.75 = 463,656.75/x
  3. Step 3: Cross multiply
    220,006.13x = 463,656.75 × 463,656.75
  4. Step 4: Simplify right side
    220,006.13x = 214,977,581,820.56
  5. Step 5: Solve for x
    x = 214,977,581,820.56/220,006.13
  6. Step 6: Final answer
    x = 977,143.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.