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Finding the Third Proportional to 714,683.25 and 1,072,267.88

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Solution

The third proportional to 714,683.25 and 1,072,267.88 is: 1,608,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,683.25 : 1,072,267.88 = 1,072,267.88 : x
  2. Step 2: Convert to fraction form
    714,683.25/1,072,267.88 = 1,072,267.88/x
  3. Step 3: Cross multiply
    714,683.25x = 1,072,267.88 × 1,072,267.88
  4. Step 4: Simplify right side
    714,683.25x = 1,149,758,395,757.02
  5. Step 5: Solve for x
    x = 1,149,758,395,757.02/714,683.25
  6. Step 6: Final answer
    x = 1,608,766.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.