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Finding the Third Proportional to 631,656.56 and 893,757.38

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Solution

The third proportional to 631,656.56 and 893,757.38 is: 1,264,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,656.56 : 893,757.38 = 893,757.38 : x
  2. Step 2: Convert to fraction form
    631,656.56/893,757.38 = 893,757.38/x
  3. Step 3: Cross multiply
    631,656.56x = 893,757.38 × 893,757.38
  4. Step 4: Simplify right side
    631,656.56x = 798,802,245,366.89
  5. Step 5: Solve for x
    x = 798,802,245,366.89/631,656.56
  6. Step 6: Final answer
    x = 1,264,614.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.