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Finding the Third Proportional to 379,377 and 571,569.75

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Solution

The third proportional to 379,377 and 571,569.75 is: 861,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,377 : 571,569.75 = 571,569.75 : x
  2. Step 2: Convert to fraction form
    379,377/571,569.75 = 571,569.75/x
  3. Step 3: Cross multiply
    379,377x = 571,569.75 × 571,569.75
  4. Step 4: Simplify right side
    379,377x = 326,691,979,115.06
  5. Step 5: Solve for x
    x = 326,691,979,115.06/379,377
  6. Step 6: Final answer
    x = 861,127.53

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