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Finding the Third Proportional to 216,270 and 474,642

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Solution

The third proportional to 216,270 and 474,642 is: 1,041,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,270 : 474,642 = 474,642 : x
  2. Step 2: Convert to fraction form
    216,270/474,642 = 474,642/x
  3. Step 3: Cross multiply
    216,270x = 474,642 × 474,642
  4. Step 4: Simplify right side
    216,270x = 225,285,028,164
  5. Step 5: Solve for x
    x = 225,285,028,164/216,270
  6. Step 6: Final answer
    x = 1,041,684.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.