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Finding the Third Proportional to 633,274 and 979,313

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Solution

The third proportional to 633,274 and 979,313 is: 1,514,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,274 : 979,313 = 979,313 : x
  2. Step 2: Convert to fraction form
    633,274/979,313 = 979,313/x
  3. Step 3: Cross multiply
    633,274x = 979,313 × 979,313
  4. Step 4: Simplify right side
    633,274x = 959,053,951,969
  5. Step 5: Solve for x
    x = 959,053,951,969/633,274
  6. Step 6: Final answer
    x = 1,514,437.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.