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Finding the Third Proportional to 412,200.14 and 908,258.06

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Solution

The third proportional to 412,200.14 and 908,258.06 is: 2,001,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,200.14 : 908,258.06 = 908,258.06 : x
  2. Step 2: Convert to fraction form
    412,200.14/908,258.06 = 908,258.06/x
  3. Step 3: Cross multiply
    412,200.14x = 908,258.06 × 908,258.06
  4. Step 4: Simplify right side
    412,200.14x = 824,932,708,096.25
  5. Step 5: Solve for x
    x = 824,932,708,096.25/412,200.14
  6. Step 6: Final answer
    x = 2,001,291.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.