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Finding the Third Proportional to 364,546 and 551,850

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Solution

The third proportional to 364,546 and 551,850 is: 835,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,546 : 551,850 = 551,850 : x
  2. Step 2: Convert to fraction form
    364,546/551,850 = 551,850/x
  3. Step 3: Cross multiply
    364,546x = 551,850 × 551,850
  4. Step 4: Simplify right side
    364,546x = 304,538,422,500
  5. Step 5: Solve for x
    x = 304,538,422,500/364,546
  6. Step 6: Final answer
    x = 835,390.93

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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.