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Finding the Third Proportional to 259,656,447 and 404,373,874.50

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Solution

The third proportional to 259,656,447 and 404,373,874.50 is: 629,748,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,656,447 : 404,373,874.50 = 404,373,874.50 : x
  2. Step 2: Convert to fraction form
    259,656,447/404,373,874.50 = 404,373,874.50/x
  3. Step 3: Cross multiply
    259,656,447x = 404,373,874.50 × 404,373,874.50
  4. Step 4: Simplify right side
    259,656,447x = 163,518,230,378,141,760
  5. Step 5: Solve for x
    x = 163,518,230,378,141,760/259,656,447
  6. Step 6: Final answer
    x = 629,748,393.57

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Why These Related Problems?

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