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Finding the Third Proportional to 303,292,716 and 654,913,728

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Solution

The third proportional to 303,292,716 and 654,913,728 is: 1,414,184,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,716 : 654,913,728 = 654,913,728 : x
  2. Step 2: Convert to fraction form
    303,292,716/654,913,728 = 654,913,728/x
  3. Step 3: Cross multiply
    303,292,716x = 654,913,728 × 654,913,728
  4. Step 4: Simplify right side
    303,292,716x = 428,911,991,122,857,984
  5. Step 5: Solve for x
    x = 428,911,991,122,857,984/303,292,716
  6. Step 6: Final answer
    x = 1,414,184,939.16

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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.