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Finding the Third Proportional to 547,043.50 and 878,952.50

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Solution

The third proportional to 547,043.50 and 878,952.50 is: 1,412,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,043.50 : 878,952.50 = 878,952.50 : x
  2. Step 2: Convert to fraction form
    547,043.50/878,952.50 = 878,952.50/x
  3. Step 3: Cross multiply
    547,043.50x = 878,952.50 × 878,952.50
  4. Step 4: Simplify right side
    547,043.50x = 772,557,497,256.25
  5. Step 5: Solve for x
    x = 772,557,497,256.25/547,043.50
  6. Step 6: Final answer
    x = 1,412,241.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.