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Finding the Third Proportional to 220,078.69 and 463,801.13

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Solution

The third proportional to 220,078.69 and 463,801.13 is: 977,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,078.69 : 463,801.13 = 463,801.13 : x
  2. Step 2: Convert to fraction form
    220,078.69/463,801.13 = 463,801.13/x
  3. Step 3: Cross multiply
    220,078.69x = 463,801.13 × 463,801.13
  4. Step 4: Simplify right side
    220,078.69x = 215,111,483,551.27
  5. Step 5: Solve for x
    x = 215,111,483,551.27/220,078.69
  6. Step 6: Final answer
    x = 977,429.87

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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.