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Finding the Third Proportional to 380,369.81 and 588,664.13

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Solution

The third proportional to 380,369.81 and 588,664.13 is: 911,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,369.81 : 588,664.13 = 588,664.13 : x
  2. Step 2: Convert to fraction form
    380,369.81/588,664.13 = 588,664.13/x
  3. Step 3: Cross multiply
    380,369.81x = 588,664.13 × 588,664.13
  4. Step 4: Simplify right side
    380,369.81x = 346,525,452,062.02
  5. Step 5: Solve for x
    x = 346,525,452,062.02/380,369.81
  6. Step 6: Final answer
    x = 911,022.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.