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Finding the Third Proportional to 285,001.88 and 400,848.75

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Solution

The third proportional to 285,001.88 and 400,848.75 is: 563,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,001.88 : 400,848.75 = 400,848.75 : x
  2. Step 2: Convert to fraction form
    285,001.88/400,848.75 = 400,848.75/x
  3. Step 3: Cross multiply
    285,001.88x = 400,848.75 × 400,848.75
  4. Step 4: Simplify right side
    285,001.88x = 160,679,720,376.56
  5. Step 5: Solve for x
    x = 160,679,720,376.56/285,001.88
  6. Step 6: Final answer
    x = 563,784.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.