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Finding the Third Proportional to 378,533 and 581,832

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Solution

The third proportional to 378,533 and 581,832 is: 894,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,533 : 581,832 = 581,832 : x
  2. Step 2: Convert to fraction form
    378,533/581,832 = 581,832/x
  3. Step 3: Cross multiply
    378,533x = 581,832 × 581,832
  4. Step 4: Simplify right side
    378,533x = 338,528,476,224
  5. Step 5: Solve for x
    x = 338,528,476,224/378,533
  6. Step 6: Final answer
    x = 894,316.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.