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Finding the Third Proportional to 343,569 and 519,119

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Solution

The third proportional to 343,569 and 519,119 is: 784,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,569 : 519,119 = 519,119 : x
  2. Step 2: Convert to fraction form
    343,569/519,119 = 519,119/x
  3. Step 3: Cross multiply
    343,569x = 519,119 × 519,119
  4. Step 4: Simplify right side
    343,569x = 269,484,536,161
  5. Step 5: Solve for x
    x = 269,484,536,161/343,569
  6. Step 6: Final answer
    x = 784,368.02

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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.