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Finding the Third Proportional to 326,524 and 504,564

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Solution

The third proportional to 326,524 and 504,564 is: 779,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,524 : 504,564 = 504,564 : x
  2. Step 2: Convert to fraction form
    326,524/504,564 = 504,564/x
  3. Step 3: Cross multiply
    326,524x = 504,564 × 504,564
  4. Step 4: Simplify right side
    326,524x = 254,584,830,096
  5. Step 5: Solve for x
    x = 254,584,830,096/326,524
  6. Step 6: Final answer
    x = 779,681.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.