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Finding the Third Proportional to 582,360 and 1,267,280

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Solution

The third proportional to 582,360 and 1,267,280 is: 2,757,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,360 : 1,267,280 = 1,267,280 : x
  2. Step 2: Convert to fraction form
    582,360/1,267,280 = 1,267,280/x
  3. Step 3: Cross multiply
    582,360x = 1,267,280 × 1,267,280
  4. Step 4: Simplify right side
    582,360x = 1,605,998,598,400
  5. Step 5: Solve for x
    x = 1,605,998,598,400/582,360
  6. Step 6: Final answer
    x = 2,757,741.94

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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.