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Finding the Third Proportional to 364,542 and 551,844

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Solution

The third proportional to 364,542 and 551,844 is: 835,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,542 : 551,844 = 551,844 : x
  2. Step 2: Convert to fraction form
    364,542/551,844 = 551,844/x
  3. Step 3: Cross multiply
    364,542x = 551,844 × 551,844
  4. Step 4: Simplify right side
    364,542x = 304,531,800,336
  5. Step 5: Solve for x
    x = 304,531,800,336/364,542
  6. Step 6: Final answer
    x = 835,381.93

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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.