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Finding the Third Proportional to 376,366.18 and 564,664.61

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Solution

The third proportional to 376,366.18 and 564,664.61 is: 847,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,366.18 : 564,664.61 = 564,664.61 : x
  2. Step 2: Convert to fraction form
    376,366.18/564,664.61 = 564,664.61/x
  3. Step 3: Cross multiply
    376,366.18x = 564,664.61 × 564,664.61
  4. Step 4: Simplify right side
    376,366.18x = 318,846,116,669.18
  5. Step 5: Solve for x
    x = 318,846,116,669.18/376,366.18
  6. Step 6: Final answer
    x = 847,169.94

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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.