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Finding the Third Proportional to 213,011.44 and 466,763.34

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Solution

The third proportional to 213,011.44 and 466,763.34 is: 1,022,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,011.44 : 466,763.34 = 466,763.34 : x
  2. Step 2: Convert to fraction form
    213,011.44/466,763.34 = 466,763.34/x
  3. Step 3: Cross multiply
    213,011.44x = 466,763.34 × 466,763.34
  4. Step 4: Simplify right side
    213,011.44x = 217,868,019,068.68
  5. Step 5: Solve for x
    x = 217,868,019,068.68/213,011.44
  6. Step 6: Final answer
    x = 1,022,799.63

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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.