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Finding the Third Proportional to 323,569 and 709,346

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Solution

The third proportional to 323,569 and 709,346 is: 1,555,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,569 : 709,346 = 709,346 : x
  2. Step 2: Convert to fraction form
    323,569/709,346 = 709,346/x
  3. Step 3: Cross multiply
    323,569x = 709,346 × 709,346
  4. Step 4: Simplify right side
    323,569x = 503,171,747,716
  5. Step 5: Solve for x
    x = 503,171,747,716/323,569
  6. Step 6: Final answer
    x = 1,555,067.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.