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Finding the Third Proportional to 266,530,607 and 594,310,503

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Solution

The third proportional to 266,530,607 and 594,310,503 is: 1,325,194,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,530,607 : 594,310,503 = 594,310,503 : x
  2. Step 2: Convert to fraction form
    266,530,607/594,310,503 = 594,310,503/x
  3. Step 3: Cross multiply
    266,530,607x = 594,310,503 × 594,310,503
  4. Step 4: Simplify right side
    266,530,607x = 353,204,973,976,113,024
  5. Step 5: Solve for x
    x = 353,204,973,976,113,024/266,530,607
  6. Step 6: Final answer
    x = 1,325,194,798.27

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Why These Related Problems?

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