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Finding the Third Proportional to 388,256 and 585,120

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Solution

The third proportional to 388,256 and 585,120 is: 881,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,256 : 585,120 = 585,120 : x
  2. Step 2: Convert to fraction form
    388,256/585,120 = 585,120/x
  3. Step 3: Cross multiply
    388,256x = 585,120 × 585,120
  4. Step 4: Simplify right side
    388,256x = 342,365,414,400
  5. Step 5: Solve for x
    x = 342,365,414,400/388,256
  6. Step 6: Final answer
    x = 881,803.28

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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.