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Finding the Third Proportional to 294,192 and 440,893.13

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Solution

The third proportional to 294,192 and 440,893.13 is: 660,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,192 : 440,893.13 = 440,893.13 : x
  2. Step 2: Convert to fraction form
    294,192/440,893.13 = 440,893.13/x
  3. Step 3: Cross multiply
    294,192x = 440,893.13 × 440,893.13
  4. Step 4: Simplify right side
    294,192x = 194,386,747,672.27
  5. Step 5: Solve for x
    x = 194,386,747,672.27/294,192
  6. Step 6: Final answer
    x = 660,747.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.