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Finding the Third Proportional to 221,079.38 and 473,698.13

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Solution

The third proportional to 221,079.38 and 473,698.13 is: 1,014,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,079.38 : 473,698.13 = 473,698.13 : x
  2. Step 2: Convert to fraction form
    221,079.38/473,698.13 = 473,698.13/x
  3. Step 3: Cross multiply
    221,079.38x = 473,698.13 × 473,698.13
  4. Step 4: Simplify right side
    221,079.38x = 224,389,913,628.52
  5. Step 5: Solve for x
    x = 224,389,913,628.52/221,079.38
  6. Step 6: Final answer
    x = 1,014,974.43

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