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Finding the Third Proportional to 303,530,508 and 653,097,000

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Solution

The third proportional to 303,530,508 and 653,097,000 is: 1,405,248,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,530,508 : 653,097,000 = 653,097,000 : x
  2. Step 2: Convert to fraction form
    303,530,508/653,097,000 = 653,097,000/x
  3. Step 3: Cross multiply
    303,530,508x = 653,097,000 × 653,097,000
  4. Step 4: Simplify right side
    303,530,508x = 426,535,691,409,000,000
  5. Step 5: Solve for x
    x = 426,535,691,409,000,000/303,530,508
  6. Step 6: Final answer
    x = 1,405,248,171.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.