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Finding the Third Proportional to 454,116 and 703,150.50

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Solution

The third proportional to 454,116 and 703,150.50 is: 1,088,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,116 : 703,150.50 = 703,150.50 : x
  2. Step 2: Convert to fraction form
    454,116/703,150.50 = 703,150.50/x
  3. Step 3: Cross multiply
    454,116x = 703,150.50 × 703,150.50
  4. Step 4: Simplify right side
    454,116x = 494,420,625,650.25
  5. Step 5: Solve for x
    x = 494,420,625,650.25/454,116
  6. Step 6: Final answer
    x = 1,088,754.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.