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Finding the Third Proportional to 265,376 and 582,871

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Solution

The third proportional to 265,376 and 582,871 is: 1,280,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,376 : 582,871 = 582,871 : x
  2. Step 2: Convert to fraction form
    265,376/582,871 = 582,871/x
  3. Step 3: Cross multiply
    265,376x = 582,871 × 582,871
  4. Step 4: Simplify right side
    265,376x = 339,738,602,641
  5. Step 5: Solve for x
    x = 339,738,602,641/265,376
  6. Step 6: Final answer
    x = 1,280,216.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.