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Finding the Third Proportional to 338,236 and 535,182

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Solution

The third proportional to 338,236 and 535,182 is: 846,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,236 : 535,182 = 535,182 : x
  2. Step 2: Convert to fraction form
    338,236/535,182 = 535,182/x
  3. Step 3: Cross multiply
    338,236x = 535,182 × 535,182
  4. Step 4: Simplify right side
    338,236x = 286,419,773,124
  5. Step 5: Solve for x
    x = 286,419,773,124/338,236
  6. Step 6: Final answer
    x = 846,804.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.