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Finding the Third Proportional to 332,713,370 and 741,928,276

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Solution

The third proportional to 332,713,370 and 741,928,276 is: 1,654,449,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,713,370 : 741,928,276 = 741,928,276 : x
  2. Step 2: Convert to fraction form
    332,713,370/741,928,276 = 741,928,276/x
  3. Step 3: Cross multiply
    332,713,370x = 741,928,276 × 741,928,276
  4. Step 4: Simplify right side
    332,713,370x = 550,457,566,728,332,160
  5. Step 5: Solve for x
    x = 550,457,566,728,332,160/332,713,370
  6. Step 6: Final answer
    x = 1,654,449,794.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.