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Finding the Third Proportional to 366,947 and 561,364

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Solution

The third proportional to 366,947 and 561,364 is: 858,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 561,364 = 561,364 : x
  2. Step 2: Convert to fraction form
    366,947/561,364 = 561,364/x
  3. Step 3: Cross multiply
    366,947x = 561,364 × 561,364
  4. Step 4: Simplify right side
    366,947x = 315,129,540,496
  5. Step 5: Solve for x
    x = 315,129,540,496/366,947
  6. Step 6: Final answer
    x = 858,787.62

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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.