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Finding the Third Proportional to 285,444 and 610,243.88

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Solution

The third proportional to 285,444 and 610,243.88 is: 1,304,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,444 : 610,243.88 = 610,243.88 : x
  2. Step 2: Convert to fraction form
    285,444/610,243.88 = 610,243.88/x
  3. Step 3: Cross multiply
    285,444x = 610,243.88 × 610,243.88
  4. Step 4: Simplify right side
    285,444x = 372,397,586,975.02
  5. Step 5: Solve for x
    x = 372,397,586,975.02/285,444
  6. Step 6: Final answer
    x = 1,304,625.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.