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Finding the Third Proportional to 582,336 and 1,267,232

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Solution

The third proportional to 582,336 and 1,267,232 is: 2,757,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,336 : 1,267,232 = 1,267,232 : x
  2. Step 2: Convert to fraction form
    582,336/1,267,232 = 1,267,232/x
  3. Step 3: Cross multiply
    582,336x = 1,267,232 × 1,267,232
  4. Step 4: Simplify right side
    582,336x = 1,605,876,941,824
  5. Step 5: Solve for x
    x = 1,605,876,941,824/582,336
  6. Step 6: Final answer
    x = 2,757,646.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.