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Finding the Third Proportional to 349,579 and 529,094

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Solution

The third proportional to 349,579 and 529,094 is: 800,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,579 : 529,094 = 529,094 : x
  2. Step 2: Convert to fraction form
    349,579/529,094 = 529,094/x
  3. Step 3: Cross multiply
    349,579x = 529,094 × 529,094
  4. Step 4: Simplify right side
    349,579x = 279,940,460,836
  5. Step 5: Solve for x
    x = 279,940,460,836/349,579
  6. Step 6: Final answer
    x = 800,793.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.