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Finding the Third Proportional to 320,265 and 741,334.50

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Solution

The third proportional to 320,265 and 741,334.50 is: 1,716,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,265 : 741,334.50 = 741,334.50 : x
  2. Step 2: Convert to fraction form
    320,265/741,334.50 = 741,334.50/x
  3. Step 3: Cross multiply
    320,265x = 741,334.50 × 741,334.50
  4. Step 4: Simplify right side
    320,265x = 549,576,840,890.25
  5. Step 5: Solve for x
    x = 549,576,840,890.25/320,265
  6. Step 6: Final answer
    x = 1,716,006.56

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Why These Related Problems?

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