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Finding the Third Proportional to 259,492.78 and 561,632.91

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Solution

The third proportional to 259,492.78 and 561,632.91 is: 1,215,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,492.78 : 561,632.91 = 561,632.91 : x
  2. Step 2: Convert to fraction form
    259,492.78/561,632.91 = 561,632.91/x
  3. Step 3: Cross multiply
    259,492.78x = 561,632.91 × 561,632.91
  4. Step 4: Simplify right side
    259,492.78x = 315,431,521,382.82
  5. Step 5: Solve for x
    x = 315,431,521,382.82/259,492.78
  6. Step 6: Final answer
    x = 1,215,569.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.