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Finding the Third Proportional to 291,284 and 438,980

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Solution

The third proportional to 291,284 and 438,980 is: 661,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,284 : 438,980 = 438,980 : x
  2. Step 2: Convert to fraction form
    291,284/438,980 = 438,980/x
  3. Step 3: Cross multiply
    291,284x = 438,980 × 438,980
  4. Step 4: Simplify right side
    291,284x = 192,703,440,400
  5. Step 5: Solve for x
    x = 192,703,440,400/291,284
  6. Step 6: Final answer
    x = 661,565.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.