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Finding the Third Proportional to 302,096,317 and 466,489,568

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Solution

The third proportional to 302,096,317 and 466,489,568 is: 720,341,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,317 : 466,489,568 = 466,489,568 : x
  2. Step 2: Convert to fraction form
    302,096,317/466,489,568 = 466,489,568/x
  3. Step 3: Cross multiply
    302,096,317x = 466,489,568 × 466,489,568
  4. Step 4: Simplify right side
    302,096,317x = 217,612,517,052,826,624
  5. Step 5: Solve for x
    x = 217,612,517,052,826,624/302,096,317
  6. Step 6: Final answer
    x = 720,341,509.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.