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Finding the Third Proportional to 303,246,306 and 433,345,997

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Solution

The third proportional to 303,246,306 and 433,345,997 is: 619,261,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,246,306 : 433,345,997 = 433,345,997 : x
  2. Step 2: Convert to fraction form
    303,246,306/433,345,997 = 433,345,997/x
  3. Step 3: Cross multiply
    303,246,306x = 433,345,997 × 433,345,997
  4. Step 4: Simplify right side
    303,246,306x = 187,788,753,115,924,000
  5. Step 5: Solve for x
    x = 187,788,753,115,924,000/303,246,306
  6. Step 6: Final answer
    x = 619,261,469.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.