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Finding the Third Proportional to 294,883 and 447,796

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Solution

The third proportional to 294,883 and 447,796 is: 680,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,883 : 447,796 = 447,796 : x
  2. Step 2: Convert to fraction form
    294,883/447,796 = 447,796/x
  3. Step 3: Cross multiply
    294,883x = 447,796 × 447,796
  4. Step 4: Simplify right side
    294,883x = 200,521,257,616
  5. Step 5: Solve for x
    x = 200,521,257,616/294,883
  6. Step 6: Final answer
    x = 680,002.77

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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.