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Finding the Third Proportional to 285,018.75 and 451,294.88

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Solution

The third proportional to 285,018.75 and 451,294.88 is: 714,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,018.75 : 451,294.88 = 451,294.88 : x
  2. Step 2: Convert to fraction form
    285,018.75/451,294.88 = 451,294.88/x
  3. Step 3: Cross multiply
    285,018.75x = 451,294.88 × 451,294.88
  4. Step 4: Simplify right side
    285,018.75x = 203,667,064,201.27
  5. Step 5: Solve for x
    x = 203,667,064,201.27/285,018.75
  6. Step 6: Final answer
    x = 714,574.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.