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Finding the Third Proportional to 384,444 and 825,716

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Solution

The third proportional to 384,444 and 825,716 is: 1,773,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,444 : 825,716 = 825,716 : x
  2. Step 2: Convert to fraction form
    384,444/825,716 = 825,716/x
  3. Step 3: Cross multiply
    384,444x = 825,716 × 825,716
  4. Step 4: Simplify right side
    384,444x = 681,806,912,656
  5. Step 5: Solve for x
    x = 681,806,912,656/384,444
  6. Step 6: Final answer
    x = 1,773,488.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.