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Finding the Third Proportional to 218,378 and 475,216

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Solution

The third proportional to 218,378 and 475,216 is: 1,034,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,378 : 475,216 = 475,216 : x
  2. Step 2: Convert to fraction form
    218,378/475,216 = 475,216/x
  3. Step 3: Cross multiply
    218,378x = 475,216 × 475,216
  4. Step 4: Simplify right side
    218,378x = 225,830,246,656
  5. Step 5: Solve for x
    x = 225,830,246,656/218,378
  6. Step 6: Final answer
    x = 1,034,125.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.