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Finding the Third Proportional to 364,596 and 551,930

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Solution

The third proportional to 364,596 and 551,930 is: 835,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,596 : 551,930 = 551,930 : x
  2. Step 2: Convert to fraction form
    364,596/551,930 = 551,930/x
  3. Step 3: Cross multiply
    364,596x = 551,930 × 551,930
  4. Step 4: Simplify right side
    364,596x = 304,626,724,900
  5. Step 5: Solve for x
    x = 304,626,724,900/364,596
  6. Step 6: Final answer
    x = 835,518.56

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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.