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Finding the Third Proportional to 326,536 and 504,364

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Solution

The third proportional to 326,536 and 504,364 is: 779,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,536 : 504,364 = 504,364 : x
  2. Step 2: Convert to fraction form
    326,536/504,364 = 504,364/x
  3. Step 3: Cross multiply
    326,536x = 504,364 × 504,364
  4. Step 4: Simplify right side
    326,536x = 254,383,044,496
  5. Step 5: Solve for x
    x = 254,383,044,496/326,536
  6. Step 6: Final answer
    x = 779,035.22

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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.