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Finding the Third Proportional to 657,633.94 and 986,542.03

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Solution

The third proportional to 657,633.94 and 986,542.03 is: 1,479,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,633.94 : 986,542.03 = 986,542.03 : x
  2. Step 2: Convert to fraction form
    657,633.94/986,542.03 = 986,542.03/x
  3. Step 3: Cross multiply
    657,633.94x = 986,542.03 × 986,542.03
  4. Step 4: Simplify right side
    657,633.94x = 973,265,179,422.88
  5. Step 5: Solve for x
    x = 973,265,179,422.88/657,633.94
  6. Step 6: Final answer
    x = 1,479,949.75

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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.