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Finding the Third Proportional to 400,768 and 599,904

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Solution

The third proportional to 400,768 and 599,904 is: 897,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,768 : 599,904 = 599,904 : x
  2. Step 2: Convert to fraction form
    400,768/599,904 = 599,904/x
  3. Step 3: Cross multiply
    400,768x = 599,904 × 599,904
  4. Step 4: Simplify right side
    400,768x = 359,884,809,216
  5. Step 5: Solve for x
    x = 359,884,809,216/400,768
  6. Step 6: Final answer
    x = 897,987.89

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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.