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Finding the Third Proportional to 533,400 and 779,016

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Solution

The third proportional to 533,400 and 779,016 is: 1,137,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,400 : 779,016 = 779,016 : x
  2. Step 2: Convert to fraction form
    533,400/779,016 = 779,016/x
  3. Step 3: Cross multiply
    533,400x = 779,016 × 779,016
  4. Step 4: Simplify right side
    533,400x = 606,865,928,256
  5. Step 5: Solve for x
    x = 606,865,928,256/533,400
  6. Step 6: Final answer
    x = 1,137,731.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.