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Finding the Third Proportional to 227,304,488 and 490,928,728

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Solution

The third proportional to 227,304,488 and 490,928,728 is: 1,060,300,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,304,488 : 490,928,728 = 490,928,728 : x
  2. Step 2: Convert to fraction form
    227,304,488/490,928,728 = 490,928,728/x
  3. Step 3: Cross multiply
    227,304,488x = 490,928,728 × 490,928,728
  4. Step 4: Simplify right side
    227,304,488x = 241,011,015,975,697,984
  5. Step 5: Solve for x
    x = 241,011,015,975,697,984/227,304,488
  6. Step 6: Final answer
    x = 1,060,300,296.30

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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.