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Finding the Third Proportional to 582,336 and 873,504

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Solution

The third proportional to 582,336 and 873,504 is: 1,310,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,336 : 873,504 = 873,504 : x
  2. Step 2: Convert to fraction form
    582,336/873,504 = 873,504/x
  3. Step 3: Cross multiply
    582,336x = 873,504 × 873,504
  4. Step 4: Simplify right side
    582,336x = 763,009,238,016
  5. Step 5: Solve for x
    x = 763,009,238,016/582,336
  6. Step 6: Final answer
    x = 1,310,256

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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.