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Finding the Third Proportional to 364,236 and 551,432

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Solution

The third proportional to 364,236 and 551,432 is: 834,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,236 : 551,432 = 551,432 : x
  2. Step 2: Convert to fraction form
    364,236/551,432 = 551,432/x
  3. Step 3: Cross multiply
    364,236x = 551,432 × 551,432
  4. Step 4: Simplify right side
    364,236x = 304,077,250,624
  5. Step 5: Solve for x
    x = 304,077,250,624/364,236
  6. Step 6: Final answer
    x = 834,835.79

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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.