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Finding the Third Proportional to 234,891 and 498,942

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Solution

The third proportional to 234,891 and 498,942 is: 1,059,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,891 : 498,942 = 498,942 : x
  2. Step 2: Convert to fraction form
    234,891/498,942 = 498,942/x
  3. Step 3: Cross multiply
    234,891x = 498,942 × 498,942
  4. Step 4: Simplify right side
    234,891x = 248,943,119,364
  5. Step 5: Solve for x
    x = 248,943,119,364/234,891
  6. Step 6: Final answer
    x = 1,059,824.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.