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Finding the Third Proportional to 286,122.38 and 442,341

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Solution

The third proportional to 286,122.38 and 442,341 is: 683,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,122.38 : 442,341 = 442,341 : x
  2. Step 2: Convert to fraction form
    286,122.38/442,341 = 442,341/x
  3. Step 3: Cross multiply
    286,122.38x = 442,341 × 442,341
  4. Step 4: Simplify right side
    286,122.38x = 195,665,560,281
  5. Step 5: Solve for x
    x = 195,665,560,281/286,122.38
  6. Step 6: Final answer
    x = 683,852.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.