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Finding the Third Proportional to 216,262.41 and 474,624.56

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Solution

The third proportional to 216,262.41 and 474,624.56 is: 1,041,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,262.41 : 474,624.56 = 474,624.56 : x
  2. Step 2: Convert to fraction form
    216,262.41/474,624.56 = 474,624.56/x
  3. Step 3: Cross multiply
    216,262.41x = 474,624.56 × 474,624.56
  4. Step 4: Simplify right side
    216,262.41x = 225,268,475,328.32
  5. Step 5: Solve for x
    x = 225,268,475,328.32/216,262.41
  6. Step 6: Final answer
    x = 1,041,644.17

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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.