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Finding the Third Proportional to 218,293.73 and 477,164.67

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Solution

The third proportional to 218,293.73 and 477,164.67 is: 1,043,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,293.73 : 477,164.67 = 477,164.67 : x
  2. Step 2: Convert to fraction form
    218,293.73/477,164.67 = 477,164.67/x
  3. Step 3: Cross multiply
    218,293.73x = 477,164.67 × 477,164.67
  4. Step 4: Simplify right side
    218,293.73x = 227,686,124,085.58
  5. Step 5: Solve for x
    x = 227,686,124,085.58/218,293.73
  6. Step 6: Final answer
    x = 1,043,026.38

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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.