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Finding the Third Proportional to 518,451 and 741,388.50

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Solution

The third proportional to 518,451 and 741,388.50 is: 1,060,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,451 : 741,388.50 = 741,388.50 : x
  2. Step 2: Convert to fraction form
    518,451/741,388.50 = 741,388.50/x
  3. Step 3: Cross multiply
    518,451x = 741,388.50 × 741,388.50
  4. Step 4: Simplify right side
    518,451x = 549,656,907,932.25
  5. Step 5: Solve for x
    x = 549,656,907,932.25/518,451
  6. Step 6: Final answer
    x = 1,060,190.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.