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Finding the Third Proportional to 661,180.50 and 1,432,305

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Solution

The third proportional to 661,180.50 and 1,432,305 is: 3,102,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,180.50 : 1,432,305 = 1,432,305 : x
  2. Step 2: Convert to fraction form
    661,180.50/1,432,305 = 1,432,305/x
  3. Step 3: Cross multiply
    661,180.50x = 1,432,305 × 1,432,305
  4. Step 4: Simplify right side
    661,180.50x = 2,051,497,613,025
  5. Step 5: Solve for x
    x = 2,051,497,613,025/661,180.50
  6. Step 6: Final answer
    x = 3,102,779.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.