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Finding the Third Proportional to 299,775 and 642,284

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Solution

The third proportional to 299,775 and 642,284 is: 1,376,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,775 : 642,284 = 642,284 : x
  2. Step 2: Convert to fraction form
    299,775/642,284 = 642,284/x
  3. Step 3: Cross multiply
    299,775x = 642,284 × 642,284
  4. Step 4: Simplify right side
    299,775x = 412,528,736,656
  5. Step 5: Solve for x
    x = 412,528,736,656/299,775
  6. Step 6: Final answer
    x = 1,376,127.88

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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.