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Finding the Third Proportional to 383,042 and 608,259

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Solution

The third proportional to 383,042 and 608,259 is: 965,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,042 : 608,259 = 608,259 : x
  2. Step 2: Convert to fraction form
    383,042/608,259 = 608,259/x
  3. Step 3: Cross multiply
    383,042x = 608,259 × 608,259
  4. Step 4: Simplify right side
    383,042x = 369,979,011,081
  5. Step 5: Solve for x
    x = 369,979,011,081/383,042
  6. Step 6: Final answer
    x = 965,896.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.