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Finding the Third Proportional to 657,472.50 and 986,224.50

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Solution

The third proportional to 657,472.50 and 986,224.50 is: 1,479,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,472.50 : 986,224.50 = 986,224.50 : x
  2. Step 2: Convert to fraction form
    657,472.50/986,224.50 = 986,224.50/x
  3. Step 3: Cross multiply
    657,472.50x = 986,224.50 × 986,224.50
  4. Step 4: Simplify right side
    657,472.50x = 972,638,764,400.25
  5. Step 5: Solve for x
    x = 972,638,764,400.25/657,472.50
  6. Step 6: Final answer
    x = 1,479,360.38

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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.