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Finding the Third Proportional to 319,732.50 and 681,320

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Solution

The third proportional to 319,732.50 and 681,320 is: 1,451,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,732.50 : 681,320 = 681,320 : x
  2. Step 2: Convert to fraction form
    319,732.50/681,320 = 681,320/x
  3. Step 3: Cross multiply
    319,732.50x = 681,320 × 681,320
  4. Step 4: Simplify right side
    319,732.50x = 464,196,942,400
  5. Step 5: Solve for x
    x = 464,196,942,400/319,732.50
  6. Step 6: Final answer
    x = 1,451,829.08

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