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Finding the Third Proportional to 537,716 and 825,374

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Solution

The third proportional to 537,716 and 825,374 is: 1,266,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,716 : 825,374 = 825,374 : x
  2. Step 2: Convert to fraction form
    537,716/825,374 = 825,374/x
  3. Step 3: Cross multiply
    537,716x = 825,374 × 825,374
  4. Step 4: Simplify right side
    537,716x = 681,242,239,876
  5. Step 5: Solve for x
    x = 681,242,239,876/537,716
  6. Step 6: Final answer
    x = 1,266,918.30

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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.