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Finding the Third Proportional to 305,724 and 633,048

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Solution

The third proportional to 305,724 and 633,048 is: 1,310,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,724 : 633,048 = 633,048 : x
  2. Step 2: Convert to fraction form
    305,724/633,048 = 633,048/x
  3. Step 3: Cross multiply
    305,724x = 633,048 × 633,048
  4. Step 4: Simplify right side
    305,724x = 400,749,770,304
  5. Step 5: Solve for x
    x = 400,749,770,304/305,724
  6. Step 6: Final answer
    x = 1,310,822.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.