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Finding the Third Proportional to 218,935.50 and 473,856

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Solution

The third proportional to 218,935.50 and 473,856 is: 1,025,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,935.50 : 473,856 = 473,856 : x
  2. Step 2: Convert to fraction form
    218,935.50/473,856 = 473,856/x
  3. Step 3: Cross multiply
    218,935.50x = 473,856 × 473,856
  4. Step 4: Simplify right side
    218,935.50x = 224,539,508,736
  5. Step 5: Solve for x
    x = 224,539,508,736/218,935.50
  6. Step 6: Final answer
    x = 1,025,596.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.