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Finding the Third Proportional to 379,972.75 and 592,963.25

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Solution

The third proportional to 379,972.75 and 592,963.25 is: 925,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,972.75 : 592,963.25 = 592,963.25 : x
  2. Step 2: Convert to fraction form
    379,972.75/592,963.25 = 592,963.25/x
  3. Step 3: Cross multiply
    379,972.75x = 592,963.25 × 592,963.25
  4. Step 4: Simplify right side
    379,972.75x = 351,605,415,850.56
  5. Step 5: Solve for x
    x = 351,605,415,850.56/379,972.75
  6. Step 6: Final answer
    x = 925,343.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.