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Finding the Third Proportional to 319,037 and 700,968

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Solution

The third proportional to 319,037 and 700,968 is: 1,540,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,037 : 700,968 = 700,968 : x
  2. Step 2: Convert to fraction form
    319,037/700,968 = 700,968/x
  3. Step 3: Cross multiply
    319,037x = 700,968 × 700,968
  4. Step 4: Simplify right side
    319,037x = 491,356,137,024
  5. Step 5: Solve for x
    x = 491,356,137,024/319,037
  6. Step 6: Final answer
    x = 1,540,122.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.