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Finding the Third Proportional to 341,412 and 491,815.50

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Solution

The third proportional to 341,412 and 491,815.50 is: 708,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,412 : 491,815.50 = 491,815.50 : x
  2. Step 2: Convert to fraction form
    341,412/491,815.50 = 491,815.50/x
  3. Step 3: Cross multiply
    341,412x = 491,815.50 × 491,815.50
  4. Step 4: Simplify right side
    341,412x = 241,882,486,040.25
  5. Step 5: Solve for x
    x = 241,882,486,040.25/341,412
  6. Step 6: Final answer
    x = 708,476.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.