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Finding the Third Proportional to 388,496 and 599,997

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Solution

The third proportional to 388,496 and 599,997 is: 926,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,496 : 599,997 = 599,997 : x
  2. Step 2: Convert to fraction form
    388,496/599,997 = 599,997/x
  3. Step 3: Cross multiply
    388,496x = 599,997 × 599,997
  4. Step 4: Simplify right side
    388,496x = 359,996,400,009
  5. Step 5: Solve for x
    x = 359,996,400,009/388,496
  6. Step 6: Final answer
    x = 926,641.20

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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.