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Finding the Third Proportional to 541,586.25 and 842,359.50

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Solution

The third proportional to 541,586.25 and 842,359.50 is: 1,310,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,586.25 : 842,359.50 = 842,359.50 : x
  2. Step 2: Convert to fraction form
    541,586.25/842,359.50 = 842,359.50/x
  3. Step 3: Cross multiply
    541,586.25x = 842,359.50 × 842,359.50
  4. Step 4: Simplify right side
    541,586.25x = 709,569,527,240.25
  5. Step 5: Solve for x
    x = 709,569,527,240.25/541,586.25
  6. Step 6: Final answer
    x = 1,310,169.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.