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Finding the Third Proportional to 354,096 and 767,258

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Solution

The third proportional to 354,096 and 767,258 is: 1,662,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,096 : 767,258 = 767,258 : x
  2. Step 2: Convert to fraction form
    354,096/767,258 = 767,258/x
  3. Step 3: Cross multiply
    354,096x = 767,258 × 767,258
  4. Step 4: Simplify right side
    354,096x = 588,684,838,564
  5. Step 5: Solve for x
    x = 588,684,838,564/354,096
  6. Step 6: Final answer
    x = 1,662,500.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.