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Finding the Third Proportional to 513,219 and 739,269

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Solution

The third proportional to 513,219 and 739,269 is: 1,064,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,219 : 739,269 = 739,269 : x
  2. Step 2: Convert to fraction form
    513,219/739,269 = 739,269/x
  3. Step 3: Cross multiply
    513,219x = 739,269 × 739,269
  4. Step 4: Simplify right side
    513,219x = 546,518,654,361
  5. Step 5: Solve for x
    x = 546,518,654,361/513,219
  6. Step 6: Final answer
    x = 1,064,883.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.