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Finding the Third Proportional to 285,853.50 and 420,216.75

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Solution

The third proportional to 285,853.50 and 420,216.75 is: 617,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,853.50 : 420,216.75 = 420,216.75 : x
  2. Step 2: Convert to fraction form
    285,853.50/420,216.75 = 420,216.75/x
  3. Step 3: Cross multiply
    285,853.50x = 420,216.75 × 420,216.75
  4. Step 4: Simplify right side
    285,853.50x = 176,582,116,980.56
  5. Step 5: Solve for x
    x = 176,582,116,980.56/285,853.50
  6. Step 6: Final answer
    x = 617,736.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.