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Finding the Third Proportional to 537,719 and 825,378

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Solution

The third proportional to 537,719 and 825,378 is: 1,266,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,719 : 825,378 = 825,378 : x
  2. Step 2: Convert to fraction form
    537,719/825,378 = 825,378/x
  3. Step 3: Cross multiply
    537,719x = 825,378 × 825,378
  4. Step 4: Simplify right side
    537,719x = 681,248,842,884
  5. Step 5: Solve for x
    x = 681,248,842,884/537,719
  6. Step 6: Final answer
    x = 1,266,923.51

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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.