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Finding the Third Proportional to 363,156 and 770,004

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Solution

The third proportional to 363,156 and 770,004 is: 1,632,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,156 : 770,004 = 770,004 : x
  2. Step 2: Convert to fraction form
    363,156/770,004 = 770,004/x
  3. Step 3: Cross multiply
    363,156x = 770,004 × 770,004
  4. Step 4: Simplify right side
    363,156x = 592,906,160,016
  5. Step 5: Solve for x
    x = 592,906,160,016/363,156
  6. Step 6: Final answer
    x = 1,632,648.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.