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Finding the Third Proportional to 362,801 and 787,716

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Solution

The third proportional to 362,801 and 787,716 is: 1,710,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,801 : 787,716 = 787,716 : x
  2. Step 2: Convert to fraction form
    362,801/787,716 = 787,716/x
  3. Step 3: Cross multiply
    362,801x = 787,716 × 787,716
  4. Step 4: Simplify right side
    362,801x = 620,496,496,656
  5. Step 5: Solve for x
    x = 620,496,496,656/362,801
  6. Step 6: Final answer
    x = 1,710,294.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.