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Finding the Third Proportional to 233,289 and 508,799

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Solution

The third proportional to 233,289 and 508,799 is: 1,109,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,289 : 508,799 = 508,799 : x
  2. Step 2: Convert to fraction form
    233,289/508,799 = 508,799/x
  3. Step 3: Cross multiply
    233,289x = 508,799 × 508,799
  4. Step 4: Simplify right side
    233,289x = 258,876,422,401
  5. Step 5: Solve for x
    x = 258,876,422,401/233,289
  6. Step 6: Final answer
    x = 1,109,681.22

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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.