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Finding the Third Proportional to 422,884.13 and 655,801.31

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Solution

The third proportional to 422,884.13 and 655,801.31 is: 1,017,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,884.13 : 655,801.31 = 655,801.31 : x
  2. Step 2: Convert to fraction form
    422,884.13/655,801.31 = 655,801.31/x
  3. Step 3: Cross multiply
    422,884.13x = 655,801.31 × 655,801.31
  4. Step 4: Simplify right side
    422,884.13x = 430,075,361,476.72
  5. Step 5: Solve for x
    x = 430,075,361,476.72/422,884.13
  6. Step 6: Final answer
    x = 1,017,005.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.