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Finding the Third Proportional to 366,928 and 561,334

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Solution

The third proportional to 366,928 and 561,334 is: 858,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,928 : 561,334 = 561,334 : x
  2. Step 2: Convert to fraction form
    366,928/561,334 = 561,334/x
  3. Step 3: Cross multiply
    366,928x = 561,334 × 561,334
  4. Step 4: Simplify right side
    366,928x = 315,095,859,556
  5. Step 5: Solve for x
    x = 315,095,859,556/366,928
  6. Step 6: Final answer
    x = 858,740.30

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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.