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Finding the Third Proportional to 329,310 and 508,383

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Solution

The third proportional to 329,310 and 508,383 is: 784,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,310 : 508,383 = 508,383 : x
  2. Step 2: Convert to fraction form
    329,310/508,383 = 508,383/x
  3. Step 3: Cross multiply
    329,310x = 508,383 × 508,383
  4. Step 4: Simplify right side
    329,310x = 258,453,274,689
  5. Step 5: Solve for x
    x = 258,453,274,689/329,310
  6. Step 6: Final answer
    x = 784,832.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.