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Finding the Third Proportional to 312,416 and 666,272

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Solution

The third proportional to 312,416 and 666,272 is: 1,420,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,416 : 666,272 = 666,272 : x
  2. Step 2: Convert to fraction form
    312,416/666,272 = 666,272/x
  3. Step 3: Cross multiply
    312,416x = 666,272 × 666,272
  4. Step 4: Simplify right side
    312,416x = 443,918,377,984
  5. Step 5: Solve for x
    x = 443,918,377,984/312,416
  6. Step 6: Final answer
    x = 1,420,920.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.