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Finding the Third Proportional to 466,825.50 and 741,066.75

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Solution

The third proportional to 466,825.50 and 741,066.75 is: 1,176,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,825.50 : 741,066.75 = 741,066.75 : x
  2. Step 2: Convert to fraction form
    466,825.50/741,066.75 = 741,066.75/x
  3. Step 3: Cross multiply
    466,825.50x = 741,066.75 × 741,066.75
  4. Step 4: Simplify right side
    466,825.50x = 549,179,927,955.56
  5. Step 5: Solve for x
    x = 549,179,927,955.56/466,825.50
  6. Step 6: Final answer
    x = 1,176,413.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.