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Finding the Third Proportional to 296,384 and 603,776

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Solution

The third proportional to 296,384 and 603,776 is: 1,229,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,384 : 603,776 = 603,776 : x
  2. Step 2: Convert to fraction form
    296,384/603,776 = 603,776/x
  3. Step 3: Cross multiply
    296,384x = 603,776 × 603,776
  4. Step 4: Simplify right side
    296,384x = 364,545,458,176
  5. Step 5: Solve for x
    x = 364,545,458,176/296,384
  6. Step 6: Final answer
    x = 1,229,976.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.