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Finding the Third Proportional to 379,181 and 572,804

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Solution

The third proportional to 379,181 and 572,804 is: 865,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,181 : 572,804 = 572,804 : x
  2. Step 2: Convert to fraction form
    379,181/572,804 = 572,804/x
  3. Step 3: Cross multiply
    379,181x = 572,804 × 572,804
  4. Step 4: Simplify right side
    379,181x = 328,104,422,416
  5. Step 5: Solve for x
    x = 328,104,422,416/379,181
  6. Step 6: Final answer
    x = 865,297.63

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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.