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Finding the Third Proportional to 582,264 and 888,944

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Solution

The third proportional to 582,264 and 888,944 is: 1,357,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,264 : 888,944 = 888,944 : x
  2. Step 2: Convert to fraction form
    582,264/888,944 = 888,944/x
  3. Step 3: Cross multiply
    582,264x = 888,944 × 888,944
  4. Step 4: Simplify right side
    582,264x = 790,221,435,136
  5. Step 5: Solve for x
    x = 790,221,435,136/582,264
  6. Step 6: Final answer
    x = 1,357,153.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.