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Finding the Third Proportional to 299,768 and 642,272

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Solution

The third proportional to 299,768 and 642,272 is: 1,376,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,768 : 642,272 = 642,272 : x
  2. Step 2: Convert to fraction form
    299,768/642,272 = 642,272/x
  3. Step 3: Cross multiply
    299,768x = 642,272 × 642,272
  4. Step 4: Simplify right side
    299,768x = 412,513,321,984
  5. Step 5: Solve for x
    x = 412,513,321,984/299,768
  6. Step 6: Final answer
    x = 1,376,108.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.