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Finding the Third Proportional to 299,958 and 652,404

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Solution

The third proportional to 299,958 and 652,404 is: 1,418,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,958 : 652,404 = 652,404 : x
  2. Step 2: Convert to fraction form
    299,958/652,404 = 652,404/x
  3. Step 3: Cross multiply
    299,958x = 652,404 × 652,404
  4. Step 4: Simplify right side
    299,958x = 425,630,979,216
  5. Step 5: Solve for x
    x = 425,630,979,216/299,958
  6. Step 6: Final answer
    x = 1,418,968.59

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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.