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Finding the Third Proportional to 436,717.13 and 925,922.25

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Solution

The third proportional to 436,717.13 and 925,922.25 is: 1,963,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,717.13 : 925,922.25 = 925,922.25 : x
  2. Step 2: Convert to fraction form
    436,717.13/925,922.25 = 925,922.25/x
  3. Step 3: Cross multiply
    436,717.13x = 925,922.25 × 925,922.25
  4. Step 4: Simplify right side
    436,717.13x = 857,332,013,045.06
  5. Step 5: Solve for x
    x = 857,332,013,045.06/436,717.13
  6. Step 6: Final answer
    x = 1,963,128.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.