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Finding the Third Proportional to 216,078 and 466,776.75

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Solution

The third proportional to 216,078 and 466,776.75 is: 1,008,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,078 : 466,776.75 = 466,776.75 : x
  2. Step 2: Convert to fraction form
    216,078/466,776.75 = 466,776.75/x
  3. Step 3: Cross multiply
    216,078x = 466,776.75 × 466,776.75
  4. Step 4: Simplify right side
    216,078x = 217,880,534,340.56
  5. Step 5: Solve for x
    x = 217,880,534,340.56/216,078
  6. Step 6: Final answer
    x = 1,008,342.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.