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Finding the Third Proportional to 519,486.75 and 812,035.13

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Solution

The third proportional to 519,486.75 and 812,035.13 is: 1,269,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,486.75 : 812,035.13 = 812,035.13 : x
  2. Step 2: Convert to fraction form
    519,486.75/812,035.13 = 812,035.13/x
  3. Step 3: Cross multiply
    519,486.75x = 812,035.13 × 812,035.13
  4. Step 4: Simplify right side
    519,486.75x = 659,401,044,233.77
  5. Step 5: Solve for x
    x = 659,401,044,233.77/519,486.75
  6. Step 6: Final answer
    x = 1,269,331.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.