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Finding the Third Proportional to 388,752 and 599,694

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Solution

The third proportional to 388,752 and 599,694 is: 925,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,752 : 599,694 = 599,694 : x
  2. Step 2: Convert to fraction form
    388,752/599,694 = 599,694/x
  3. Step 3: Cross multiply
    388,752x = 599,694 × 599,694
  4. Step 4: Simplify right side
    388,752x = 359,632,893,636
  5. Step 5: Solve for x
    x = 359,632,893,636/388,752
  6. Step 6: Final answer
    x = 925,095.93

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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.