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Finding the Third Proportional to 244,346 and 357,782

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Solution

The third proportional to 244,346 and 357,782 is: 523,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,346 : 357,782 = 357,782 : x
  2. Step 2: Convert to fraction form
    244,346/357,782 = 357,782/x
  3. Step 3: Cross multiply
    244,346x = 357,782 × 357,782
  4. Step 4: Simplify right side
    244,346x = 128,007,959,524
  5. Step 5: Solve for x
    x = 128,007,959,524/244,346
  6. Step 6: Final answer
    x = 523,879.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.