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Finding the Third Proportional to 299,307 and 650,982

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Solution

The third proportional to 299,307 and 650,982 is: 1,415,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,307 : 650,982 = 650,982 : x
  2. Step 2: Convert to fraction form
    299,307/650,982 = 650,982/x
  3. Step 3: Cross multiply
    299,307x = 650,982 × 650,982
  4. Step 4: Simplify right side
    299,307x = 423,777,564,324
  5. Step 5: Solve for x
    x = 423,777,564,324/299,307
  6. Step 6: Final answer
    x = 1,415,862.52

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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.