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Finding the Third Proportional to 211,242.94 and 469,713.94

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Solution

The third proportional to 211,242.94 and 469,713.94 is: 1,044,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,242.94 : 469,713.94 = 469,713.94 : x
  2. Step 2: Convert to fraction form
    211,242.94/469,713.94 = 469,713.94/x
  3. Step 3: Cross multiply
    211,242.94x = 469,713.94 × 469,713.94
  4. Step 4: Simplify right side
    211,242.94x = 220,631,183,081.75
  5. Step 5: Solve for x
    x = 220,631,183,081.75/211,242.94
  6. Step 6: Final answer
    x = 1,044,442.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.