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Finding the Third Proportional to 222,755.06 and 473,115.94

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Solution

The third proportional to 222,755.06 and 473,115.94 is: 1,004,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,755.06 : 473,115.94 = 473,115.94 : x
  2. Step 2: Convert to fraction form
    222,755.06/473,115.94 = 473,115.94/x
  3. Step 3: Cross multiply
    222,755.06x = 473,115.94 × 473,115.94
  4. Step 4: Simplify right side
    222,755.06x = 223,838,690,316.50
  5. Step 5: Solve for x
    x = 223,838,690,316.50/222,755.06
  6. Step 6: Final answer
    x = 1,004,864.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.