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Finding the Third Proportional to 680,801.63 and 925,057.13

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Solution

The third proportional to 680,801.63 and 925,057.13 is: 1,256,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,801.63 : 925,057.13 = 925,057.13 : x
  2. Step 2: Convert to fraction form
    680,801.63/925,057.13 = 925,057.13/x
  3. Step 3: Cross multiply
    680,801.63x = 925,057.13 × 925,057.13
  4. Step 4: Simplify right side
    680,801.63x = 855,730,684,513.27
  5. Step 5: Solve for x
    x = 855,730,684,513.27/680,801.63
  6. Step 6: Final answer
    x = 1,256,945.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.