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Finding the Third Proportional to 377,837 and 566,521

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Solution

The third proportional to 377,837 and 566,521 is: 849,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,837 : 566,521 = 566,521 : x
  2. Step 2: Convert to fraction form
    377,837/566,521 = 566,521/x
  3. Step 3: Cross multiply
    377,837x = 566,521 × 566,521
  4. Step 4: Simplify right side
    377,837x = 320,946,043,441
  5. Step 5: Solve for x
    x = 320,946,043,441/377,837
  6. Step 6: Final answer
    x = 849,429.90

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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.