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Finding the Third Proportional to 633,138.75 and 906,960

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Solution

The third proportional to 633,138.75 and 906,960 is: 1,299,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,138.75 : 906,960 = 906,960 : x
  2. Step 2: Convert to fraction form
    633,138.75/906,960 = 906,960/x
  3. Step 3: Cross multiply
    633,138.75x = 906,960 × 906,960
  4. Step 4: Simplify right side
    633,138.75x = 822,576,441,600
  5. Step 5: Solve for x
    x = 822,576,441,600/633,138.75
  6. Step 6: Final answer
    x = 1,299,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.