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Finding the Third Proportional to 388,032 and 582,546

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Solution

The third proportional to 388,032 and 582,546 is: 874,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,032 : 582,546 = 582,546 : x
  2. Step 2: Convert to fraction form
    388,032/582,546 = 582,546/x
  3. Step 3: Cross multiply
    388,032x = 582,546 × 582,546
  4. Step 4: Simplify right side
    388,032x = 339,359,842,116
  5. Step 5: Solve for x
    x = 339,359,842,116/388,032
  6. Step 6: Final answer
    x = 874,566.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.