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Finding the Third Proportional to 340,098 and 741,433.50

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Solution

The third proportional to 340,098 and 741,433.50 is: 1,616,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098 : 741,433.50 = 741,433.50 : x
  2. Step 2: Convert to fraction form
    340,098/741,433.50 = 741,433.50/x
  3. Step 3: Cross multiply
    340,098x = 741,433.50 × 741,433.50
  4. Step 4: Simplify right side
    340,098x = 549,723,634,922.25
  5. Step 5: Solve for x
    x = 549,723,634,922.25/340,098
  6. Step 6: Final answer
    x = 1,616,368.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.