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Finding the Third Proportional to 259,265.81 and 392,520.94

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Solution

The third proportional to 259,265.81 and 392,520.94 is: 594,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,265.81 : 392,520.94 = 392,520.94 : x
  2. Step 2: Convert to fraction form
    259,265.81/392,520.94 = 392,520.94/x
  3. Step 3: Cross multiply
    259,265.81x = 392,520.94 × 392,520.94
  4. Step 4: Simplify right side
    259,265.81x = 154,072,686,375.88
  5. Step 5: Solve for x
    x = 154,072,686,375.88/259,265.81
  6. Step 6: Final answer
    x = 594,265.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.