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Finding the Third Proportional to 405,569 and 587,442

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Solution

The third proportional to 405,569 and 587,442 is: 850,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,569 : 587,442 = 587,442 : x
  2. Step 2: Convert to fraction form
    405,569/587,442 = 587,442/x
  3. Step 3: Cross multiply
    405,569x = 587,442 × 587,442
  4. Step 4: Simplify right side
    405,569x = 345,088,103,364
  5. Step 5: Solve for x
    x = 345,088,103,364/405,569
  6. Step 6: Final answer
    x = 850,873.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.