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Finding the Third Proportional to 587,718.13 and 812,093

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Solution

The third proportional to 587,718.13 and 812,093 is: 1,122,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,718.13 : 812,093 = 812,093 : x
  2. Step 2: Convert to fraction form
    587,718.13/812,093 = 812,093/x
  3. Step 3: Cross multiply
    587,718.13x = 812,093 × 812,093
  4. Step 4: Simplify right side
    587,718.13x = 659,495,040,649
  5. Step 5: Solve for x
    x = 659,495,040,649/587,718.13
  6. Step 6: Final answer
    x = 1,122,128.13

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