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Finding the Third Proportional to 302,972,344 and 654,372,152

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Solution

The third proportional to 302,972,344 and 654,372,152 is: 1,413,339,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,972,344 : 654,372,152 = 654,372,152 : x
  2. Step 2: Convert to fraction form
    302,972,344/654,372,152 = 654,372,152/x
  3. Step 3: Cross multiply
    302,972,344x = 654,372,152 × 654,372,152
  4. Step 4: Simplify right side
    302,972,344x = 428,202,913,313,111,104
  5. Step 5: Solve for x
    x = 428,202,913,313,111,104/302,972,344
  6. Step 6: Final answer
    x = 1,413,339,936.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.