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Finding the Third Proportional to 363,069 and 531,711

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Solution

The third proportional to 363,069 and 531,711 is: 778,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,069 : 531,711 = 531,711 : x
  2. Step 2: Convert to fraction form
    363,069/531,711 = 531,711/x
  3. Step 3: Cross multiply
    363,069x = 531,711 × 531,711
  4. Step 4: Simplify right side
    363,069x = 282,716,587,521
  5. Step 5: Solve for x
    x = 282,716,587,521/363,069
  6. Step 6: Final answer
    x = 778,685.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.