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Finding the Third Proportional to 231,738.19 and 507,660.19

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Solution

The third proportional to 231,738.19 and 507,660.19 is: 1,112,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738.19 : 507,660.19 = 507,660.19 : x
  2. Step 2: Convert to fraction form
    231,738.19/507,660.19 = 507,660.19/x
  3. Step 3: Cross multiply
    231,738.19x = 507,660.19 × 507,660.19
  4. Step 4: Simplify right side
    231,738.19x = 257,718,865,972.54
  5. Step 5: Solve for x
    x = 257,718,865,972.54/231,738.19
  6. Step 6: Final answer
    x = 1,112,112.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.