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Finding the Third Proportional to 216,643.50 and 472,653

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Solution

The third proportional to 216,643.50 and 472,653 is: 1,031,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.50 : 472,653 = 472,653 : x
  2. Step 2: Convert to fraction form
    216,643.50/472,653 = 472,653/x
  3. Step 3: Cross multiply
    216,643.50x = 472,653 × 472,653
  4. Step 4: Simplify right side
    216,643.50x = 223,400,858,409
  5. Step 5: Solve for x
    x = 223,400,858,409/216,643.50
  6. Step 6: Final answer
    x = 1,031,191.14

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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.