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Finding the Third Proportional to 352,728 and 771,696

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Solution

The third proportional to 352,728 and 771,696 is: 1,688,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,728 : 771,696 = 771,696 : x
  2. Step 2: Convert to fraction form
    352,728/771,696 = 771,696/x
  3. Step 3: Cross multiply
    352,728x = 771,696 × 771,696
  4. Step 4: Simplify right side
    352,728x = 595,514,716,416
  5. Step 5: Solve for x
    x = 595,514,716,416/352,728
  6. Step 6: Final answer
    x = 1,688,311.44

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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.