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Finding the Third Proportional to 388,831.50 and 571,824

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Solution

The third proportional to 388,831.50 and 571,824 is: 840,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,831.50 : 571,824 = 571,824 : x
  2. Step 2: Convert to fraction form
    388,831.50/571,824 = 571,824/x
  3. Step 3: Cross multiply
    388,831.50x = 571,824 × 571,824
  4. Step 4: Simplify right side
    388,831.50x = 326,982,686,976
  5. Step 5: Solve for x
    x = 326,982,686,976/388,831.50
  6. Step 6: Final answer
    x = 840,936.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.