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Finding the Third Proportional to 291,766 and 675,856

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Solution

The third proportional to 291,766 and 675,856 is: 1,565,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,766 : 675,856 = 675,856 : x
  2. Step 2: Convert to fraction form
    291,766/675,856 = 675,856/x
  3. Step 3: Cross multiply
    291,766x = 675,856 × 675,856
  4. Step 4: Simplify right side
    291,766x = 456,781,332,736
  5. Step 5: Solve for x
    x = 456,781,332,736/291,766
  6. Step 6: Final answer
    x = 1,565,574.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.