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Finding the Third Proportional to 320,711 and 692,269

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Solution

The third proportional to 320,711 and 692,269 is: 1,494,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,711 : 692,269 = 692,269 : x
  2. Step 2: Convert to fraction form
    320,711/692,269 = 692,269/x
  3. Step 3: Cross multiply
    320,711x = 692,269 × 692,269
  4. Step 4: Simplify right side
    320,711x = 479,236,368,361
  5. Step 5: Solve for x
    x = 479,236,368,361/320,711
  6. Step 6: Final answer
    x = 1,494,293.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.