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Finding the Third Proportional to 541,101.50 and 856,774.50

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Solution

The third proportional to 541,101.50 and 856,774.50 is: 1,356,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,101.50 : 856,774.50 = 856,774.50 : x
  2. Step 2: Convert to fraction form
    541,101.50/856,774.50 = 856,774.50/x
  3. Step 3: Cross multiply
    541,101.50x = 856,774.50 × 856,774.50
  4. Step 4: Simplify right side
    541,101.50x = 734,062,543,850.25
  5. Step 5: Solve for x
    x = 734,062,543,850.25/541,101.50
  6. Step 6: Final answer
    x = 1,356,607.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.