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Finding the Third Proportional to 541,102.50 and 856,776.38

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Solution

The third proportional to 541,102.50 and 856,776.38 is: 1,356,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,102.50 : 856,776.38 = 856,776.38 : x
  2. Step 2: Convert to fraction form
    541,102.50/856,776.38 = 856,776.38/x
  3. Step 3: Cross multiply
    541,102.50x = 856,776.38 × 856,776.38
  4. Step 4: Simplify right side
    541,102.50x = 734,065,756,758.14
  5. Step 5: Solve for x
    x = 734,065,756,758.14/541,102.50
  6. Step 6: Final answer
    x = 1,356,611.28

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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.