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Finding the Third Proportional to 244,944 and 534,816

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Solution

The third proportional to 244,944 and 534,816 is: 1,167,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,944 : 534,816 = 534,816 : x
  2. Step 2: Convert to fraction form
    244,944/534,816 = 534,816/x
  3. Step 3: Cross multiply
    244,944x = 534,816 × 534,816
  4. Step 4: Simplify right side
    244,944x = 286,028,153,856
  5. Step 5: Solve for x
    x = 286,028,153,856/244,944
  6. Step 6: Final answer
    x = 1,167,728.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.