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Finding the Third Proportional to 292,192 and 443,715

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Solution

The third proportional to 292,192 and 443,715 is: 673,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,192 : 443,715 = 443,715 : x
  2. Step 2: Convert to fraction form
    292,192/443,715 = 443,715/x
  3. Step 3: Cross multiply
    292,192x = 443,715 × 443,715
  4. Step 4: Simplify right side
    292,192x = 196,883,001,225
  5. Step 5: Solve for x
    x = 196,883,001,225/292,192
  6. Step 6: Final answer
    x = 673,813.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.