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Finding the Third Proportional to 291,314,332 and 624,180,648

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Solution

The third proportional to 291,314,332 and 624,180,648 is: 1,337,392,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,332 : 624,180,648 = 624,180,648 : x
  2. Step 2: Convert to fraction form
    291,314,332/624,180,648 = 624,180,648/x
  3. Step 3: Cross multiply
    291,314,332x = 624,180,648 × 624,180,648
  4. Step 4: Simplify right side
    291,314,332x = 389,601,481,337,699,904
  5. Step 5: Solve for x
    x = 389,601,481,337,699,904/291,314,332
  6. Step 6: Final answer
    x = 1,337,392,083.19

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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.