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Finding the Third Proportional to 227,304,486 and 490,928,724

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Solution

The third proportional to 227,304,486 and 490,928,724 is: 1,060,300,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,304,486 : 490,928,724 = 490,928,724 : x
  2. Step 2: Convert to fraction form
    227,304,486/490,928,724 = 490,928,724/x
  3. Step 3: Cross multiply
    227,304,486x = 490,928,724 × 490,928,724
  4. Step 4: Simplify right side
    227,304,486x = 241,011,012,048,268,160
  5. Step 5: Solve for x
    x = 241,011,012,048,268,160/227,304,486
  6. Step 6: Final answer
    x = 1,060,300,288.35

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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.