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Finding the Third Proportional to 376,737 and 565,107

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Solution

The third proportional to 376,737 and 565,107 is: 847,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,737 : 565,107 = 565,107 : x
  2. Step 2: Convert to fraction form
    376,737/565,107 = 565,107/x
  3. Step 3: Cross multiply
    376,737x = 565,107 × 565,107
  4. Step 4: Simplify right side
    376,737x = 319,345,921,449
  5. Step 5: Solve for x
    x = 319,345,921,449/376,737
  6. Step 6: Final answer
    x = 847,662.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.