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Finding the Third Proportional to 364,230 and 551,427

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Solution

The third proportional to 364,230 and 551,427 is: 834,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,230 : 551,427 = 551,427 : x
  2. Step 2: Convert to fraction form
    364,230/551,427 = 551,427/x
  3. Step 3: Cross multiply
    364,230x = 551,427 × 551,427
  4. Step 4: Simplify right side
    364,230x = 304,071,736,329
  5. Step 5: Solve for x
    x = 304,071,736,329/364,230
  6. Step 6: Final answer
    x = 834,834.41

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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.