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Finding the Third Proportional to 303,292,496 and 654,913,296

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Solution

The third proportional to 303,292,496 and 654,913,296 is: 1,414,184,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,496 : 654,913,296 = 654,913,296 : x
  2. Step 2: Convert to fraction form
    303,292,496/654,913,296 = 654,913,296/x
  3. Step 3: Cross multiply
    303,292,496x = 654,913,296 × 654,913,296
  4. Step 4: Simplify right side
    303,292,496x = 428,911,425,277,583,616
  5. Step 5: Solve for x
    x = 428,911,425,277,583,616/303,292,496
  6. Step 6: Final answer
    x = 1,414,184,099.29

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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.