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Finding the Third Proportional to 400,746 and 599,863

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Solution

The third proportional to 400,746 and 599,863 is: 897,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,746 : 599,863 = 599,863 : x
  2. Step 2: Convert to fraction form
    400,746/599,863 = 599,863/x
  3. Step 3: Cross multiply
    400,746x = 599,863 × 599,863
  4. Step 4: Simplify right side
    400,746x = 359,835,618,769
  5. Step 5: Solve for x
    x = 359,835,618,769/400,746
  6. Step 6: Final answer
    x = 897,914.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.