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Finding the Third Proportional to 297,904,716 and 464,961,789

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Solution

The third proportional to 297,904,716 and 464,961,789 is: 725,700,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,904,716 : 464,961,789 = 464,961,789 : x
  2. Step 2: Convert to fraction form
    297,904,716/464,961,789 = 464,961,789/x
  3. Step 3: Cross multiply
    297,904,716x = 464,961,789 × 464,961,789
  4. Step 4: Simplify right side
    297,904,716x = 216,189,465,230,080,512
  5. Step 5: Solve for x
    x = 216,189,465,230,080,512/297,904,716
  6. Step 6: Final answer
    x = 725,700,043.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.