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Finding the Third Proportional to 226,831.13 and 495,214.13

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Solution

The third proportional to 226,831.13 and 495,214.13 is: 1,081,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,831.13 : 495,214.13 = 495,214.13 : x
  2. Step 2: Convert to fraction form
    226,831.13/495,214.13 = 495,214.13/x
  3. Step 3: Cross multiply
    226,831.13x = 495,214.13 × 495,214.13
  4. Step 4: Simplify right side
    226,831.13x = 245,237,029,599.52
  5. Step 5: Solve for x
    x = 245,237,029,599.52/226,831.13
  6. Step 6: Final answer
    x = 1,081,143.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.