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Finding the Third Proportional to 301,959 and 415,311

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Solution

The third proportional to 301,959 and 415,311 is: 571,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,959 : 415,311 = 415,311 : x
  2. Step 2: Convert to fraction form
    301,959/415,311 = 415,311/x
  3. Step 3: Cross multiply
    301,959x = 415,311 × 415,311
  4. Step 4: Simplify right side
    301,959x = 172,483,226,721
  5. Step 5: Solve for x
    x = 172,483,226,721/301,959
  6. Step 6: Final answer
    x = 571,214.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.