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Finding the Third Proportional to 285,437,576 and 454,192,015

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Solution

The third proportional to 285,437,576 and 454,192,015 is: 722,716,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437,576 : 454,192,015 = 454,192,015 : x
  2. Step 2: Convert to fraction form
    285,437,576/454,192,015 = 454,192,015/x
  3. Step 3: Cross multiply
    285,437,576x = 454,192,015 × 454,192,015
  4. Step 4: Simplify right side
    285,437,576x = 206,290,386,489,760,224
  5. Step 5: Solve for x
    x = 206,290,386,489,760,224/285,437,576
  6. Step 6: Final answer
    x = 722,716,291.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.