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Finding the Third Proportional to 485,984.25 and 654,230.25

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Solution

The third proportional to 485,984.25 and 654,230.25 is: 880,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,984.25 : 654,230.25 = 654,230.25 : x
  2. Step 2: Convert to fraction form
    485,984.25/654,230.25 = 654,230.25/x
  3. Step 3: Cross multiply
    485,984.25x = 654,230.25 × 654,230.25
  4. Step 4: Simplify right side
    485,984.25x = 428,017,220,015.06
  5. Step 5: Solve for x
    x = 428,017,220,015.06/485,984.25
  6. Step 6: Final answer
    x = 880,722.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.