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Finding the Third Proportional to 569,380 and 873,366

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Solution

The third proportional to 569,380 and 873,366 is: 1,339,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,380 : 873,366 = 873,366 : x
  2. Step 2: Convert to fraction form
    569,380/873,366 = 873,366/x
  3. Step 3: Cross multiply
    569,380x = 873,366 × 873,366
  4. Step 4: Simplify right side
    569,380x = 762,768,169,956
  5. Step 5: Solve for x
    x = 762,768,169,956/569,380
  6. Step 6: Final answer
    x = 1,339,646.93

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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.