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Finding the Third Proportional to 388,701 and 599,656

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Solution

The third proportional to 388,701 and 599,656 is: 925,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,701 : 599,656 = 599,656 : x
  2. Step 2: Convert to fraction form
    388,701/599,656 = 599,656/x
  3. Step 3: Cross multiply
    388,701x = 599,656 × 599,656
  4. Step 4: Simplify right side
    388,701x = 359,587,318,336
  5. Step 5: Solve for x
    x = 359,587,318,336/388,701
  6. Step 6: Final answer
    x = 925,100.06

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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.