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Finding the Third Proportional to 320,268 and 741,341.50

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Solution

The third proportional to 320,268 and 741,341.50 is: 1,716,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,268 : 741,341.50 = 741,341.50 : x
  2. Step 2: Convert to fraction form
    320,268/741,341.50 = 741,341.50/x
  3. Step 3: Cross multiply
    320,268x = 741,341.50 × 741,341.50
  4. Step 4: Simplify right side
    320,268x = 549,587,219,622.25
  5. Step 5: Solve for x
    x = 549,587,219,622.25/320,268
  6. Step 6: Final answer
    x = 1,716,022.89

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.