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Finding the Third Proportional to 313,331 and 643,253

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Solution

The third proportional to 313,331 and 643,253 is: 1,320,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,331 : 643,253 = 643,253 : x
  2. Step 2: Convert to fraction form
    313,331/643,253 = 643,253/x
  3. Step 3: Cross multiply
    313,331x = 643,253 × 643,253
  4. Step 4: Simplify right side
    313,331x = 413,774,422,009
  5. Step 5: Solve for x
    x = 413,774,422,009/313,331
  6. Step 6: Final answer
    x = 1,320,566.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.