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Finding the Third Proportional to 284,649,358.50 and 430,006,860

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Solution

The third proportional to 284,649,358.50 and 430,006,860 is: 649,591,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,649,358.50 : 430,006,860 = 430,006,860 : x
  2. Step 2: Convert to fraction form
    284,649,358.50/430,006,860 = 430,006,860/x
  3. Step 3: Cross multiply
    284,649,358.50x = 430,006,860 × 430,006,860
  4. Step 4: Simplify right side
    284,649,358.50x = 184,905,899,647,059,584
  5. Step 5: Solve for x
    x = 184,905,899,647,059,584/284,649,358.50
  6. Step 6: Final answer
    x = 649,591,836.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.