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Finding the Third Proportional to 248,731 and 532,949

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Solution

The third proportional to 248,731 and 532,949 is: 1,141,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,731 : 532,949 = 532,949 : x
  2. Step 2: Convert to fraction form
    248,731/532,949 = 532,949/x
  3. Step 3: Cross multiply
    248,731x = 532,949 × 532,949
  4. Step 4: Simplify right side
    248,731x = 284,034,636,601
  5. Step 5: Solve for x
    x = 284,034,636,601/248,731
  6. Step 6: Final answer
    x = 1,141,935.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.