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Finding the Third Proportional to 546,847.50 and 856,112.25

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Solution

The third proportional to 546,847.50 and 856,112.25 is: 1,340,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,847.50 : 856,112.25 = 856,112.25 : x
  2. Step 2: Convert to fraction form
    546,847.50/856,112.25 = 856,112.25/x
  3. Step 3: Cross multiply
    546,847.50x = 856,112.25 × 856,112.25
  4. Step 4: Simplify right side
    546,847.50x = 732,928,184,600.06
  5. Step 5: Solve for x
    x = 732,928,184,600.06/546,847.50
  6. Step 6: Final answer
    x = 1,340,278.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.