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Finding the Third Proportional to 333,658 and 503,367

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Solution

The third proportional to 333,658 and 503,367 is: 759,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,658 : 503,367 = 503,367 : x
  2. Step 2: Convert to fraction form
    333,658/503,367 = 503,367/x
  3. Step 3: Cross multiply
    333,658x = 503,367 × 503,367
  4. Step 4: Simplify right side
    333,658x = 253,378,336,689
  5. Step 5: Solve for x
    x = 253,378,336,689/333,658
  6. Step 6: Final answer
    x = 759,395.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.