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Finding the Third Proportional to 331,504.88 and 715,831.88

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Solution

The third proportional to 331,504.88 and 715,831.88 is: 1,545,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504.88 : 715,831.88 = 715,831.88 : x
  2. Step 2: Convert to fraction form
    331,504.88/715,831.88 = 715,831.88/x
  3. Step 3: Cross multiply
    331,504.88x = 715,831.88 × 715,831.88
  4. Step 4: Simplify right side
    331,504.88x = 512,415,273,266.02
  5. Step 5: Solve for x
    x = 512,415,273,266.02/331,504.88
  6. Step 6: Final answer
    x = 1,545,724.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.