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Finding the Third Proportional to 368,439.75 and 550,377

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Solution

The third proportional to 368,439.75 and 550,377 is: 822,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,439.75 : 550,377 = 550,377 : x
  2. Step 2: Convert to fraction form
    368,439.75/550,377 = 550,377/x
  3. Step 3: Cross multiply
    368,439.75x = 550,377 × 550,377
  4. Step 4: Simplify right side
    368,439.75x = 302,914,842,129
  5. Step 5: Solve for x
    x = 302,914,842,129/368,439.75
  6. Step 6: Final answer
    x = 822,155.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.