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Finding the Third Proportional to 233,802 and 503,669

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Solution

The third proportional to 233,802 and 503,669 is: 1,085,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,802 : 503,669 = 503,669 : x
  2. Step 2: Convert to fraction form
    233,802/503,669 = 503,669/x
  3. Step 3: Cross multiply
    233,802x = 503,669 × 503,669
  4. Step 4: Simplify right side
    233,802x = 253,682,461,561
  5. Step 5: Solve for x
    x = 253,682,461,561/233,802
  6. Step 6: Final answer
    x = 1,085,031.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.