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Finding the Third Proportional to 233,259 and 508,721

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Solution

The third proportional to 233,259 and 508,721 is: 1,109,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,259 : 508,721 = 508,721 : x
  2. Step 2: Convert to fraction form
    233,259/508,721 = 508,721/x
  3. Step 3: Cross multiply
    233,259x = 508,721 × 508,721
  4. Step 4: Simplify right side
    233,259x = 258,797,055,841
  5. Step 5: Solve for x
    x = 258,797,055,841/233,259
  6. Step 6: Final answer
    x = 1,109,483.69

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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.