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Finding the Third Proportional to 702,067.50 and 1,516,005

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Solution

The third proportional to 702,067.50 and 1,516,005 is: 3,273,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,067.50 : 1,516,005 = 1,516,005 : x
  2. Step 2: Convert to fraction form
    702,067.50/1,516,005 = 1,516,005/x
  3. Step 3: Cross multiply
    702,067.50x = 1,516,005 × 1,516,005
  4. Step 4: Simplify right side
    702,067.50x = 2,298,271,160,025
  5. Step 5: Solve for x
    x = 2,298,271,160,025/702,067.50
  6. Step 6: Final answer
    x = 3,273,575.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.