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Finding the Third Proportional to 537,394.50 and 838,775.25

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Solution

The third proportional to 537,394.50 and 838,775.25 is: 1,309,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,394.50 : 838,775.25 = 838,775.25 : x
  2. Step 2: Convert to fraction form
    537,394.50/838,775.25 = 838,775.25/x
  3. Step 3: Cross multiply
    537,394.50x = 838,775.25 × 838,775.25
  4. Step 4: Simplify right side
    537,394.50x = 703,543,920,012.56
  5. Step 5: Solve for x
    x = 703,543,920,012.56/537,394.50
  6. Step 6: Final answer
    x = 1,309,175.88

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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.