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Finding the Third Proportional to 297,126 and 447,111

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Solution

The third proportional to 297,126 and 447,111 is: 672,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,126 : 447,111 = 447,111 : x
  2. Step 2: Convert to fraction form
    297,126/447,111 = 447,111/x
  3. Step 3: Cross multiply
    297,126x = 447,111 × 447,111
  4. Step 4: Simplify right side
    297,126x = 199,908,246,321
  5. Step 5: Solve for x
    x = 199,908,246,321/297,126
  6. Step 6: Final answer
    x = 672,806.31

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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.