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Finding the Third Proportional to 353,124 and 771,856

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Solution

The third proportional to 353,124 and 771,856 is: 1,687,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,124 : 771,856 = 771,856 : x
  2. Step 2: Convert to fraction form
    353,124/771,856 = 771,856/x
  3. Step 3: Cross multiply
    353,124x = 771,856 × 771,856
  4. Step 4: Simplify right side
    353,124x = 595,761,684,736
  5. Step 5: Solve for x
    x = 595,761,684,736/353,124
  6. Step 6: Final answer
    x = 1,687,117.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.