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Finding the Third Proportional to 477,542.25 and 722,461.50

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Solution

The third proportional to 477,542.25 and 722,461.50 is: 1,092,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,542.25 : 722,461.50 = 722,461.50 : x
  2. Step 2: Convert to fraction form
    477,542.25/722,461.50 = 722,461.50/x
  3. Step 3: Cross multiply
    477,542.25x = 722,461.50 × 722,461.50
  4. Step 4: Simplify right side
    477,542.25x = 521,950,618,982.25
  5. Step 5: Solve for x
    x = 521,950,618,982.25/477,542.25
  6. Step 6: Final answer
    x = 1,092,993.59

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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.