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Finding the Third Proportional to 352,026 and 504,451

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Solution

The third proportional to 352,026 and 504,451 is: 722,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,026 : 504,451 = 504,451 : x
  2. Step 2: Convert to fraction form
    352,026/504,451 = 504,451/x
  3. Step 3: Cross multiply
    352,026x = 504,451 × 504,451
  4. Step 4: Simplify right side
    352,026x = 254,470,811,401
  5. Step 5: Solve for x
    x = 254,470,811,401/352,026
  6. Step 6: Final answer
    x = 722,875.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.