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Finding the Third Proportional to 244,385.86 and 511,116.96

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Solution

The third proportional to 244,385.86 and 511,116.96 is: 1,068,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,385.86 : 511,116.96 = 511,116.96 : x
  2. Step 2: Convert to fraction form
    244,385.86/511,116.96 = 511,116.96/x
  3. Step 3: Cross multiply
    244,385.86x = 511,116.96 × 511,116.96
  4. Step 4: Simplify right side
    244,385.86x = 261,240,547,757.99
  5. Step 5: Solve for x
    x = 261,240,547,757.99/244,385.86
  6. Step 6: Final answer
    x = 1,068,967.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.