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Finding the Third Proportional to 319,044 and 700,982

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Solution

The third proportional to 319,044 and 700,982 is: 1,540,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,044 : 700,982 = 700,982 : x
  2. Step 2: Convert to fraction form
    319,044/700,982 = 700,982/x
  3. Step 3: Cross multiply
    319,044x = 700,982 × 700,982
  4. Step 4: Simplify right side
    319,044x = 491,375,764,324
  5. Step 5: Solve for x
    x = 491,375,764,324/319,044
  6. Step 6: Final answer
    x = 1,540,150.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.