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Finding the Third Proportional to 655,265 and 981,925

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Solution

The third proportional to 655,265 and 981,925 is: 1,471,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,265 : 981,925 = 981,925 : x
  2. Step 2: Convert to fraction form
    655,265/981,925 = 981,925/x
  3. Step 3: Cross multiply
    655,265x = 981,925 × 981,925
  4. Step 4: Simplify right side
    655,265x = 964,176,705,625
  5. Step 5: Solve for x
    x = 964,176,705,625/655,265
  6. Step 6: Final answer
    x = 1,471,430.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.