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Finding the Third Proportional to 295,408 and 644,282

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Solution

The third proportional to 295,408 and 644,282 is: 1,405,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,408 : 644,282 = 644,282 : x
  2. Step 2: Convert to fraction form
    295,408/644,282 = 644,282/x
  3. Step 3: Cross multiply
    295,408x = 644,282 × 644,282
  4. Step 4: Simplify right side
    295,408x = 415,099,295,524
  5. Step 5: Solve for x
    x = 415,099,295,524/295,408
  6. Step 6: Final answer
    x = 1,405,172.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.