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Finding the Third Proportional to 492,229 and 759,343

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Solution

The third proportional to 492,229 and 759,343 is: 1,171,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,229 : 759,343 = 759,343 : x
  2. Step 2: Convert to fraction form
    492,229/759,343 = 759,343/x
  3. Step 3: Cross multiply
    492,229x = 759,343 × 759,343
  4. Step 4: Simplify right side
    492,229x = 576,601,791,649
  5. Step 5: Solve for x
    x = 576,601,791,649/492,229
  6. Step 6: Final answer
    x = 1,171,409.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.