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Finding the Third Proportional to 537,720 and 825,379

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Solution

The third proportional to 537,720 and 825,379 is: 1,266,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,720 : 825,379 = 825,379 : x
  2. Step 2: Convert to fraction form
    537,720/825,379 = 825,379/x
  3. Step 3: Cross multiply
    537,720x = 825,379 × 825,379
  4. Step 4: Simplify right side
    537,720x = 681,250,493,641
  5. Step 5: Solve for x
    x = 681,250,493,641/537,720
  6. Step 6: Final answer
    x = 1,266,924.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.