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Finding the Third Proportional to 348,345 and 576,519.75

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Solution

The third proportional to 348,345 and 576,519.75 is: 954,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,345 : 576,519.75 = 576,519.75 : x
  2. Step 2: Convert to fraction form
    348,345/576,519.75 = 576,519.75/x
  3. Step 3: Cross multiply
    348,345x = 576,519.75 × 576,519.75
  4. Step 4: Simplify right side
    348,345x = 332,375,022,140.06
  5. Step 5: Solve for x
    x = 332,375,022,140.06/348,345
  6. Step 6: Final answer
    x = 954,154.71

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.