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Finding the Third Proportional to 587,718.75 and 812,093.75

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Solution

The third proportional to 587,718.75 and 812,093.75 is: 1,122,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,718.75 : 812,093.75 = 812,093.75 : x
  2. Step 2: Convert to fraction form
    587,718.75/812,093.75 = 812,093.75/x
  3. Step 3: Cross multiply
    587,718.75x = 812,093.75 × 812,093.75
  4. Step 4: Simplify right side
    587,718.75x = 659,496,258,789.06
  5. Step 5: Solve for x
    x = 659,496,258,789.06/587,718.75
  6. Step 6: Final answer
    x = 1,122,129.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.