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Finding the Third Proportional to 313,110 and 676,232

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Solution

The third proportional to 313,110 and 676,232 is: 1,460,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,110 : 676,232 = 676,232 : x
  2. Step 2: Convert to fraction form
    313,110/676,232 = 676,232/x
  3. Step 3: Cross multiply
    313,110x = 676,232 × 676,232
  4. Step 4: Simplify right side
    313,110x = 457,289,717,824
  5. Step 5: Solve for x
    x = 457,289,717,824/313,110
  6. Step 6: Final answer
    x = 1,460,476.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.