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Finding the Third Proportional to 213,020 and 466,780

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Solution

The third proportional to 213,020 and 466,780 is: 1,022,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,020 : 466,780 = 466,780 : x
  2. Step 2: Convert to fraction form
    213,020/466,780 = 466,780/x
  3. Step 3: Cross multiply
    213,020x = 466,780 × 466,780
  4. Step 4: Simplify right side
    213,020x = 217,883,568,400
  5. Step 5: Solve for x
    x = 217,883,568,400/213,020
  6. Step 6: Final answer
    x = 1,022,831.51

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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.