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Finding the Third Proportional to 335,209,530 and 517,162,478

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Solution

The third proportional to 335,209,530 and 517,162,478 is: 797,880,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,209,530 : 517,162,478 = 517,162,478 : x
  2. Step 2: Convert to fraction form
    335,209,530/517,162,478 = 517,162,478/x
  3. Step 3: Cross multiply
    335,209,530x = 517,162,478 × 517,162,478
  4. Step 4: Simplify right side
    335,209,530x = 267,457,028,651,100,480
  5. Step 5: Solve for x
    x = 267,457,028,651,100,480/335,209,530
  6. Step 6: Final answer
    x = 797,880,145.74

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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.