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Finding the Third Proportional to 467,874 and 743,803.50

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Solution

The third proportional to 467,874 and 743,803.50 is: 1,182,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,874 : 743,803.50 = 743,803.50 : x
  2. Step 2: Convert to fraction form
    467,874/743,803.50 = 743,803.50/x
  3. Step 3: Cross multiply
    467,874x = 743,803.50 × 743,803.50
  4. Step 4: Simplify right side
    467,874x = 553,243,646,612.25
  5. Step 5: Solve for x
    x = 553,243,646,612.25/467,874
  6. Step 6: Final answer
    x = 1,182,462.90

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