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Finding the Third Proportional to 378,398.50 and 585,957.75

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Solution

The third proportional to 378,398.50 and 585,957.75 is: 907,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398.50 : 585,957.75 = 585,957.75 : x
  2. Step 2: Convert to fraction form
    378,398.50/585,957.75 = 585,957.75/x
  3. Step 3: Cross multiply
    378,398.50x = 585,957.75 × 585,957.75
  4. Step 4: Simplify right side
    378,398.50x = 343,346,484,785.06
  5. Step 5: Solve for x
    x = 343,346,484,785.06/378,398.50
  6. Step 6: Final answer
    x = 907,367.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.