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Finding the Third Proportional to 364,228 and 551,424

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Solution

The third proportional to 364,228 and 551,424 is: 834,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,228 : 551,424 = 551,424 : x
  2. Step 2: Convert to fraction form
    364,228/551,424 = 551,424/x
  3. Step 3: Cross multiply
    364,228x = 551,424 × 551,424
  4. Step 4: Simplify right side
    364,228x = 304,068,427,776
  5. Step 5: Solve for x
    x = 304,068,427,776/364,228
  6. Step 6: Final answer
    x = 834,829.91

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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.