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Finding the Third Proportional to 312,221 and 676,935

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Solution

The third proportional to 312,221 and 676,935 is: 1,467,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,221 : 676,935 = 676,935 : x
  2. Step 2: Convert to fraction form
    312,221/676,935 = 676,935/x
  3. Step 3: Cross multiply
    312,221x = 676,935 × 676,935
  4. Step 4: Simplify right side
    312,221x = 458,240,994,225
  5. Step 5: Solve for x
    x = 458,240,994,225/312,221
  6. Step 6: Final answer
    x = 1,467,681.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.