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Finding the Third Proportional to 533,450.25 and 817,993.13

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Solution

The third proportional to 533,450.25 and 817,993.13 is: 1,254,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,450.25 : 817,993.13 = 817,993.13 : x
  2. Step 2: Convert to fraction form
    533,450.25/817,993.13 = 817,993.13/x
  3. Step 3: Cross multiply
    533,450.25x = 817,993.13 × 817,993.13
  4. Step 4: Simplify right side
    533,450.25x = 669,112,752,547.27
  5. Step 5: Solve for x
    x = 669,112,752,547.27/533,450.25
  6. Step 6: Final answer
    x = 1,254,311.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.