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Finding the Third Proportional to 714,917.25 and 1,488,640.50

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Solution

The third proportional to 714,917.25 and 1,488,640.50 is: 3,099,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,917.25 : 1,488,640.50 = 1,488,640.50 : x
  2. Step 2: Convert to fraction form
    714,917.25/1,488,640.50 = 1,488,640.50/x
  3. Step 3: Cross multiply
    714,917.25x = 1,488,640.50 × 1,488,640.50
  4. Step 4: Simplify right side
    714,917.25x = 2,216,050,538,240.25
  5. Step 5: Solve for x
    x = 2,216,050,538,240.25/714,917.25
  6. Step 6: Final answer
    x = 3,099,730.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.