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Finding the Third Proportional to 600,048 and 876,369

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Solution

The third proportional to 600,048 and 876,369 is: 1,279,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,048 : 876,369 = 876,369 : x
  2. Step 2: Convert to fraction form
    600,048/876,369 = 876,369/x
  3. Step 3: Cross multiply
    600,048x = 876,369 × 876,369
  4. Step 4: Simplify right side
    600,048x = 768,022,624,161
  5. Step 5: Solve for x
    x = 768,022,624,161/600,048
  6. Step 6: Final answer
    x = 1,279,935.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.