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Finding the Third Proportional to 364,231.50 and 551,425.50

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Solution

The third proportional to 364,231.50 and 551,425.50 is: 834,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,231.50 : 551,425.50 = 551,425.50 : x
  2. Step 2: Convert to fraction form
    364,231.50/551,425.50 = 551,425.50/x
  3. Step 3: Cross multiply
    364,231.50x = 551,425.50 × 551,425.50
  4. Step 4: Simplify right side
    364,231.50x = 304,070,082,050.25
  5. Step 5: Solve for x
    x = 304,070,082,050.25/364,231.50
  6. Step 6: Final answer
    x = 834,826.43

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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.