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Finding the Third Proportional to 233,498 and 498,100

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Solution

The third proportional to 233,498 and 498,100 is: 1,062,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,498 : 498,100 = 498,100 : x
  2. Step 2: Convert to fraction form
    233,498/498,100 = 498,100/x
  3. Step 3: Cross multiply
    233,498x = 498,100 × 498,100
  4. Step 4: Simplify right side
    233,498x = 248,103,610,000
  5. Step 5: Solve for x
    x = 248,103,610,000/233,498
  6. Step 6: Final answer
    x = 1,062,551.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.