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Finding the Third Proportional to 364,212 and 551,397

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Solution

The third proportional to 364,212 and 551,397 is: 834,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,212 : 551,397 = 551,397 : x
  2. Step 2: Convert to fraction form
    364,212/551,397 = 551,397/x
  3. Step 3: Cross multiply
    364,212x = 551,397 × 551,397
  4. Step 4: Simplify right side
    364,212x = 304,038,651,609
  5. Step 5: Solve for x
    x = 304,038,651,609/364,212
  6. Step 6: Final answer
    x = 834,784.83

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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.