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Finding the Third Proportional to 364,636 and 551,984

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Solution

The third proportional to 364,636 and 551,984 is: 835,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,636 : 551,984 = 551,984 : x
  2. Step 2: Convert to fraction form
    364,636/551,984 = 551,984/x
  3. Step 3: Cross multiply
    364,636x = 551,984 × 551,984
  4. Step 4: Simplify right side
    364,636x = 304,686,336,256
  5. Step 5: Solve for x
    x = 304,686,336,256/364,636
  6. Step 6: Final answer
    x = 835,590.39

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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.