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Finding the Third Proportional to 367,038 and 567,285

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Solution

The third proportional to 367,038 and 567,285 is: 876,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,038 : 567,285 = 567,285 : x
  2. Step 2: Convert to fraction form
    367,038/567,285 = 567,285/x
  3. Step 3: Cross multiply
    367,038x = 567,285 × 567,285
  4. Step 4: Simplify right side
    367,038x = 321,812,271,225
  5. Step 5: Solve for x
    x = 321,812,271,225/367,038
  6. Step 6: Final answer
    x = 876,781.89

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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.