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Finding the Third Proportional to 547,573.50 and 816,801.75

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Solution

The third proportional to 547,573.50 and 816,801.75 is: 1,218,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,573.50 : 816,801.75 = 816,801.75 : x
  2. Step 2: Convert to fraction form
    547,573.50/816,801.75 = 816,801.75/x
  3. Step 3: Cross multiply
    547,573.50x = 816,801.75 × 816,801.75
  4. Step 4: Simplify right side
    547,573.50x = 667,165,098,803.06
  5. Step 5: Solve for x
    x = 667,165,098,803.06/547,573.50
  6. Step 6: Final answer
    x = 1,218,402.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.