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Finding the Third Proportional to 401,980.50 and 850,617

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Solution

The third proportional to 401,980.50 and 850,617 is: 1,799,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,980.50 : 850,617 = 850,617 : x
  2. Step 2: Convert to fraction form
    401,980.50/850,617 = 850,617/x
  3. Step 3: Cross multiply
    401,980.50x = 850,617 × 850,617
  4. Step 4: Simplify right side
    401,980.50x = 723,549,280,689
  5. Step 5: Solve for x
    x = 723,549,280,689/401,980.50
  6. Step 6: Final answer
    x = 1,799,961.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.