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Finding the Third Proportional to 436,717.50 and 925,925.25

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Solution

The third proportional to 436,717.50 and 925,925.25 is: 1,963,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,717.50 : 925,925.25 = 925,925.25 : x
  2. Step 2: Convert to fraction form
    436,717.50/925,925.25 = 925,925.25/x
  3. Step 3: Cross multiply
    436,717.50x = 925,925.25 × 925,925.25
  4. Step 4: Simplify right side
    436,717.50x = 857,337,568,587.56
  5. Step 5: Solve for x
    x = 857,337,568,587.56/436,717.50
  6. Step 6: Final answer
    x = 1,963,139.94

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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.