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Finding the Third Proportional to 367,872 and 569,826

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Solution

The third proportional to 367,872 and 569,826 is: 882,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,872 : 569,826 = 569,826 : x
  2. Step 2: Convert to fraction form
    367,872/569,826 = 569,826/x
  3. Step 3: Cross multiply
    367,872x = 569,826 × 569,826
  4. Step 4: Simplify right side
    367,872x = 324,701,670,276
  5. Step 5: Solve for x
    x = 324,701,670,276/367,872
  6. Step 6: Final answer
    x = 882,648.50

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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.