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Finding the Third Proportional to 714,153.38 and 968,815.69

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Solution

The third proportional to 714,153.38 and 968,815.69 is: 1,314,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,153.38 : 968,815.69 = 968,815.69 : x
  2. Step 2: Convert to fraction form
    714,153.38/968,815.69 = 968,815.69/x
  3. Step 3: Cross multiply
    714,153.38x = 968,815.69 × 968,815.69
  4. Step 4: Simplify right side
    714,153.38x = 938,603,836,346.10
  5. Step 5: Solve for x
    x = 938,603,836,346.10/714,153.38
  6. Step 6: Final answer
    x = 1,314,288.88

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Why These Related Problems?

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