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Finding the Third Proportional to 233,257 and 508,727

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Solution

The third proportional to 233,257 and 508,727 is: 1,109,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,257 : 508,727 = 508,727 : x
  2. Step 2: Convert to fraction form
    233,257/508,727 = 508,727/x
  3. Step 3: Cross multiply
    233,257x = 508,727 × 508,727
  4. Step 4: Simplify right side
    233,257x = 258,803,160,529
  5. Step 5: Solve for x
    x = 258,803,160,529/233,257
  6. Step 6: Final answer
    x = 1,109,519.37

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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.