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Finding the Third Proportional to 244,428 and 511,179

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Solution

The third proportional to 244,428 and 511,179 is: 1,069,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,428 : 511,179 = 511,179 : x
  2. Step 2: Convert to fraction form
    244,428/511,179 = 511,179/x
  3. Step 3: Cross multiply
    244,428x = 511,179 × 511,179
  4. Step 4: Simplify right side
    244,428x = 261,303,970,041
  5. Step 5: Solve for x
    x = 261,303,970,041/244,428
  6. Step 6: Final answer
    x = 1,069,042.70

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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.