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Finding the Third Proportional to 560,208.75 and 846,983.25

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Solution

The third proportional to 560,208.75 and 846,983.25 is: 1,280,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,208.75 : 846,983.25 = 846,983.25 : x
  2. Step 2: Convert to fraction form
    560,208.75/846,983.25 = 846,983.25/x
  3. Step 3: Cross multiply
    560,208.75x = 846,983.25 × 846,983.25
  4. Step 4: Simplify right side
    560,208.75x = 717,380,625,780.56
  5. Step 5: Solve for x
    x = 717,380,625,780.56/560,208.75
  6. Step 6: Final answer
    x = 1,280,559.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.