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Finding the Third Proportional to 390,199,796 and 531,476,003

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Solution

The third proportional to 390,199,796 and 531,476,003 is: 723,902,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,199,796 : 531,476,003 = 531,476,003 : x
  2. Step 2: Convert to fraction form
    390,199,796/531,476,003 = 531,476,003/x
  3. Step 3: Cross multiply
    390,199,796x = 531,476,003 × 531,476,003
  4. Step 4: Simplify right side
    390,199,796x = 282,466,741,764,856,000
  5. Step 5: Solve for x
    x = 282,466,741,764,856,000/390,199,796
  6. Step 6: Final answer
    x = 723,902,843.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.