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Finding the Third Proportional to 657,645.75 and 986,559.75

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Solution

The third proportional to 657,645.75 and 986,559.75 is: 1,479,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,645.75 : 986,559.75 = 986,559.75 : x
  2. Step 2: Convert to fraction form
    657,645.75/986,559.75 = 986,559.75/x
  3. Step 3: Cross multiply
    657,645.75x = 986,559.75 × 986,559.75
  4. Step 4: Simplify right side
    657,645.75x = 973,300,140,320.06
  5. Step 5: Solve for x
    x = 973,300,140,320.06/657,645.75
  6. Step 6: Final answer
    x = 1,479,976.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.