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Finding the Third Proportional to 633,139.50 and 906,961.13

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Solution

The third proportional to 633,139.50 and 906,961.13 is: 1,299,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,139.50 : 906,961.13 = 906,961.13 : x
  2. Step 2: Convert to fraction form
    633,139.50/906,961.13 = 906,961.13/x
  3. Step 3: Cross multiply
    633,139.50x = 906,961.13 × 906,961.13
  4. Step 4: Simplify right side
    633,139.50x = 822,578,482,261.27
  5. Step 5: Solve for x
    x = 822,578,482,261.27/633,139.50
  6. Step 6: Final answer
    x = 1,299,205.76

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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.