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Finding the Third Proportional to 469,064.25 and 914,800.50

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Solution

The third proportional to 469,064.25 and 914,800.50 is: 1,784,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,064.25 : 914,800.50 = 914,800.50 : x
  2. Step 2: Convert to fraction form
    469,064.25/914,800.50 = 914,800.50/x
  3. Step 3: Cross multiply
    469,064.25x = 914,800.50 × 914,800.50
  4. Step 4: Simplify right side
    469,064.25x = 836,859,954,800.25
  5. Step 5: Solve for x
    x = 836,859,954,800.25/469,064.25
  6. Step 6: Final answer
    x = 1,784,105.17

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.