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Finding the Third Proportional to 356,730 and 523,269

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Solution

The third proportional to 356,730 and 523,269 is: 767,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,730 : 523,269 = 523,269 : x
  2. Step 2: Convert to fraction form
    356,730/523,269 = 523,269/x
  3. Step 3: Cross multiply
    356,730x = 523,269 × 523,269
  4. Step 4: Simplify right side
    356,730x = 273,810,446,361
  5. Step 5: Solve for x
    x = 273,810,446,361/356,730
  6. Step 6: Final answer
    x = 767,556.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.