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Finding the Third Proportional to 291,314,344.50 and 624,180,672

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Solution

The third proportional to 291,314,344.50 and 624,180,672 is: 1,337,392,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,344.50 : 624,180,672 = 624,180,672 : x
  2. Step 2: Convert to fraction form
    291,314,344.50/624,180,672 = 624,180,672/x
  3. Step 3: Cross multiply
    291,314,344.50x = 624,180,672 × 624,180,672
  4. Step 4: Simplify right side
    291,314,344.50x = 389,601,511,298,371,584
  5. Step 5: Solve for x
    x = 389,601,511,298,371,584/291,314,344.50
  6. Step 6: Final answer
    x = 1,337,392,128.65

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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.