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Finding the Third Proportional to 311,904 and 661,014

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Solution

The third proportional to 311,904 and 661,014 is: 1,400,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904 : 661,014 = 661,014 : x
  2. Step 2: Convert to fraction form
    311,904/661,014 = 661,014/x
  3. Step 3: Cross multiply
    311,904x = 661,014 × 661,014
  4. Step 4: Simplify right side
    311,904x = 436,939,508,196
  5. Step 5: Solve for x
    x = 436,939,508,196/311,904
  6. Step 6: Final answer
    x = 1,400,878.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.