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Finding the Third Proportional to 379,356.75 and 571,541.06

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Solution

The third proportional to 379,356.75 and 571,541.06 is: 861,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,356.75 : 571,541.06 = 571,541.06 : x
  2. Step 2: Convert to fraction form
    379,356.75/571,541.06 = 571,541.06/x
  3. Step 3: Cross multiply
    379,356.75x = 571,541.06 × 571,541.06
  4. Step 4: Simplify right side
    379,356.75x = 326,659,186,123.63
  5. Step 5: Solve for x
    x = 326,659,186,123.63/379,356.75
  6. Step 6: Final answer
    x = 861,087.05

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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.