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Finding the Third Proportional to 364,628.25 and 551,971.13

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Solution

The third proportional to 364,628.25 and 551,971.13 is: 835,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,628.25 : 551,971.13 = 551,971.13 : x
  2. Step 2: Convert to fraction form
    364,628.25/551,971.13 = 551,971.13/x
  3. Step 3: Cross multiply
    364,628.25x = 551,971.13 × 551,971.13
  4. Step 4: Simplify right side
    364,628.25x = 304,672,122,833.77
  5. Step 5: Solve for x
    x = 304,672,122,833.77/364,628.25
  6. Step 6: Final answer
    x = 835,569.17

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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.