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Finding the Third Proportional to 519,711 and 777,447

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Solution

The third proportional to 519,711 and 777,447 is: 1,162,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,711 : 777,447 = 777,447 : x
  2. Step 2: Convert to fraction form
    519,711/777,447 = 777,447/x
  3. Step 3: Cross multiply
    519,711x = 777,447 × 777,447
  4. Step 4: Simplify right side
    519,711x = 604,423,837,809
  5. Step 5: Solve for x
    x = 604,423,837,809/519,711
  6. Step 6: Final answer
    x = 1,162,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.