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Finding the Third Proportional to 233,257 and 508,728

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Solution

The third proportional to 233,257 and 508,728 is: 1,109,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,257 : 508,728 = 508,728 : x
  2. Step 2: Convert to fraction form
    233,257/508,728 = 508,728/x
  3. Step 3: Cross multiply
    233,257x = 508,728 × 508,728
  4. Step 4: Simplify right side
    233,257x = 258,804,177,984
  5. Step 5: Solve for x
    x = 258,804,177,984/233,257
  6. Step 6: Final answer
    x = 1,109,523.74

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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.