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Finding the Third Proportional to 303,292,692 and 654,913,680

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Solution

The third proportional to 303,292,692 and 654,913,680 is: 1,414,184,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,692 : 654,913,680 = 654,913,680 : x
  2. Step 2: Convert to fraction form
    303,292,692/654,913,680 = 654,913,680/x
  3. Step 3: Cross multiply
    303,292,692x = 654,913,680 × 654,913,680
  4. Step 4: Simplify right side
    303,292,692x = 428,911,928,251,142,400
  5. Step 5: Solve for x
    x = 428,911,928,251,142,400/303,292,692
  6. Step 6: Final answer
    x = 1,414,184,843.77

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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.