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Finding the Third Proportional to 266,530,609 and 594,310,507

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Solution

The third proportional to 266,530,609 and 594,310,507 is: 1,325,194,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,530,609 : 594,310,507 = 594,310,507 : x
  2. Step 2: Convert to fraction form
    266,530,609/594,310,507 = 594,310,507/x
  3. Step 3: Cross multiply
    266,530,609x = 594,310,507 × 594,310,507
  4. Step 4: Simplify right side
    266,530,609x = 353,204,978,730,597,056
  5. Step 5: Solve for x
    x = 353,204,978,730,597,056/266,530,609
  6. Step 6: Final answer
    x = 1,325,194,806.16

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.