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Finding the Third Proportional to 291,314,238 and 624,180,474

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Solution

The third proportional to 291,314,238 and 624,180,474 is: 1,337,391,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,238 : 624,180,474 = 624,180,474 : x
  2. Step 2: Convert to fraction form
    291,314,238/624,180,474 = 624,180,474/x
  3. Step 3: Cross multiply
    291,314,238x = 624,180,474 × 624,180,474
  4. Step 4: Simplify right side
    291,314,238x = 389,601,264,122,864,704
  5. Step 5: Solve for x
    x = 389,601,264,122,864,704/291,314,238
  6. Step 6: Final answer
    x = 1,337,391,769.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.