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Finding the Third Proportional to 350,856 and 771,696

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Solution

The third proportional to 350,856 and 771,696 is: 1,697,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,856 : 771,696 = 771,696 : x
  2. Step 2: Convert to fraction form
    350,856/771,696 = 771,696/x
  3. Step 3: Cross multiply
    350,856x = 771,696 × 771,696
  4. Step 4: Simplify right side
    350,856x = 595,514,716,416
  5. Step 5: Solve for x
    x = 595,514,716,416/350,856
  6. Step 6: Final answer
    x = 1,697,319.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.