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Finding the Third Proportional to 541,012.50 and 779,280.75

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Solution

The third proportional to 541,012.50 and 779,280.75 is: 1,122,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,012.50 : 779,280.75 = 779,280.75 : x
  2. Step 2: Convert to fraction form
    541,012.50/779,280.75 = 779,280.75/x
  3. Step 3: Cross multiply
    541,012.50x = 779,280.75 × 779,280.75
  4. Step 4: Simplify right side
    541,012.50x = 607,278,487,320.56
  5. Step 5: Solve for x
    x = 607,278,487,320.56/541,012.50
  6. Step 6: Final answer
    x = 1,122,485.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.