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Finding the Third Proportional to 714,285 and 972,715.50

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Solution

The third proportional to 714,285 and 972,715.50 is: 1,324,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,285 : 972,715.50 = 972,715.50 : x
  2. Step 2: Convert to fraction form
    714,285/972,715.50 = 972,715.50/x
  3. Step 3: Cross multiply
    714,285x = 972,715.50 × 972,715.50
  4. Step 4: Simplify right side
    714,285x = 946,175,443,940.25
  5. Step 5: Solve for x
    x = 946,175,443,940.25/714,285
  6. Step 6: Final answer
    x = 1,324,646.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.