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Finding the Third Proportional to 588,357 and 828,535.50

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Solution

The third proportional to 588,357 and 828,535.50 is: 1,166,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,357 : 828,535.50 = 828,535.50 : x
  2. Step 2: Convert to fraction form
    588,357/828,535.50 = 828,535.50/x
  3. Step 3: Cross multiply
    588,357x = 828,535.50 × 828,535.50
  4. Step 4: Simplify right side
    588,357x = 686,471,074,760.25
  5. Step 5: Solve for x
    x = 686,471,074,760.25/588,357
  6. Step 6: Final answer
    x = 1,166,759.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.