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Finding the Third Proportional to 216,596 and 475,040.50

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Solution

The third proportional to 216,596 and 475,040.50 is: 1,041,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,596 : 475,040.50 = 475,040.50 : x
  2. Step 2: Convert to fraction form
    216,596/475,040.50 = 475,040.50/x
  3. Step 3: Cross multiply
    216,596x = 475,040.50 × 475,040.50
  4. Step 4: Simplify right side
    216,596x = 225,663,476,640.25
  5. Step 5: Solve for x
    x = 225,663,476,640.25/216,596
  6. Step 6: Final answer
    x = 1,041,863.55

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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.