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Finding the Third Proportional to 292,110 and 443,653

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Solution

The third proportional to 292,110 and 443,653 is: 673,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,110 : 443,653 = 443,653 : x
  2. Step 2: Convert to fraction form
    292,110/443,653 = 443,653/x
  3. Step 3: Cross multiply
    292,110x = 443,653 × 443,653
  4. Step 4: Simplify right side
    292,110x = 196,827,984,409
  5. Step 5: Solve for x
    x = 196,827,984,409/292,110
  6. Step 6: Final answer
    x = 673,814.61

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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.