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Finding the Third Proportional to 296,827 and 660,092

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Solution

The third proportional to 296,827 and 660,092 is: 1,467,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,827 : 660,092 = 660,092 : x
  2. Step 2: Convert to fraction form
    296,827/660,092 = 660,092/x
  3. Step 3: Cross multiply
    296,827x = 660,092 × 660,092
  4. Step 4: Simplify right side
    296,827x = 435,721,448,464
  5. Step 5: Solve for x
    x = 435,721,448,464/296,827
  6. Step 6: Final answer
    x = 1,467,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.