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Finding the Third Proportional to 364,664 and 551,856

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Solution

The third proportional to 364,664 and 551,856 is: 835,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,664 : 551,856 = 551,856 : x
  2. Step 2: Convert to fraction form
    364,664/551,856 = 551,856/x
  3. Step 3: Cross multiply
    364,664x = 551,856 × 551,856
  4. Step 4: Simplify right side
    364,664x = 304,545,044,736
  5. Step 5: Solve for x
    x = 304,545,044,736/364,664
  6. Step 6: Final answer
    x = 835,138.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.