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Finding the Third Proportional to 349,408 and 527,010

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Solution

The third proportional to 349,408 and 527,010 is: 794,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,408 : 527,010 = 527,010 : x
  2. Step 2: Convert to fraction form
    349,408/527,010 = 527,010/x
  3. Step 3: Cross multiply
    349,408x = 527,010 × 527,010
  4. Step 4: Simplify right side
    349,408x = 277,739,540,100
  5. Step 5: Solve for x
    x = 277,739,540,100/349,408
  6. Step 6: Final answer
    x = 794,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.