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Finding the Third Proportional to 388,008 and 598,620

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Solution

The third proportional to 388,008 and 598,620 is: 923,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,008 : 598,620 = 598,620 : x
  2. Step 2: Convert to fraction form
    388,008/598,620 = 598,620/x
  3. Step 3: Cross multiply
    388,008x = 598,620 × 598,620
  4. Step 4: Simplify right side
    388,008x = 358,345,904,400
  5. Step 5: Solve for x
    x = 358,345,904,400/388,008
  6. Step 6: Final answer
    x = 923,552.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.