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Finding the Third Proportional to 400,704 and 600,048

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Solution

The third proportional to 400,704 and 600,048 is: 898,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704 : 600,048 = 600,048 : x
  2. Step 2: Convert to fraction form
    400,704/600,048 = 600,048/x
  3. Step 3: Cross multiply
    400,704x = 600,048 × 600,048
  4. Step 4: Simplify right side
    400,704x = 360,057,602,304
  5. Step 5: Solve for x
    x = 360,057,602,304/400,704
  6. Step 6: Final answer
    x = 898,562.54

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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.