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Finding the Third Proportional to 343,510 and 519,024

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Solution

The third proportional to 343,510 and 519,024 is: 784,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,510 : 519,024 = 519,024 : x
  2. Step 2: Convert to fraction form
    343,510/519,024 = 519,024/x
  3. Step 3: Cross multiply
    343,510x = 519,024 × 519,024
  4. Step 4: Simplify right side
    343,510x = 269,385,912,576
  5. Step 5: Solve for x
    x = 269,385,912,576/343,510
  6. Step 6: Final answer
    x = 784,215.63

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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.