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Finding the Third Proportional to 519,412 and 693,582

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Solution

The third proportional to 519,412 and 693,582 is: 926,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,412 : 693,582 = 693,582 : x
  2. Step 2: Convert to fraction form
    519,412/693,582 = 693,582/x
  3. Step 3: Cross multiply
    519,412x = 693,582 × 693,582
  4. Step 4: Simplify right side
    519,412x = 481,055,990,724
  5. Step 5: Solve for x
    x = 481,055,990,724/519,412
  6. Step 6: Final answer
    x = 926,154.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.