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Finding the Third Proportional to 379,027 and 572,479

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Solution

The third proportional to 379,027 and 572,479 is: 864,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,027 : 572,479 = 572,479 : x
  2. Step 2: Convert to fraction form
    379,027/572,479 = 572,479/x
  3. Step 3: Cross multiply
    379,027x = 572,479 × 572,479
  4. Step 4: Simplify right side
    379,027x = 327,732,205,441
  5. Step 5: Solve for x
    x = 327,732,205,441/379,027
  6. Step 6: Final answer
    x = 864,667.18

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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.