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Finding the Third Proportional to 221,079.38 and 473,703.19

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Solution

The third proportional to 221,079.38 and 473,703.19 is: 1,014,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,079.38 : 473,703.19 = 473,703.19 : x
  2. Step 2: Convert to fraction form
    221,079.38/473,703.19 = 473,703.19/x
  3. Step 3: Cross multiply
    221,079.38x = 473,703.19 × 473,703.19
  4. Step 4: Simplify right side
    221,079.38x = 224,394,709,847.66
  5. Step 5: Solve for x
    x = 224,394,709,847.66/221,079.38
  6. Step 6: Final answer
    x = 1,014,996.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.