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Finding the Third Proportional to 364,635 and 551,982

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Solution

The third proportional to 364,635 and 551,982 is: 835,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,635 : 551,982 = 551,982 : x
  2. Step 2: Convert to fraction form
    364,635/551,982 = 551,982/x
  3. Step 3: Cross multiply
    364,635x = 551,982 × 551,982
  4. Step 4: Simplify right side
    364,635x = 304,684,128,324
  5. Step 5: Solve for x
    x = 304,684,128,324/364,635
  6. Step 6: Final answer
    x = 835,586.62

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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.