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Finding the Third Proportional to 335,144 and 718,264

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Solution

The third proportional to 335,144 and 718,264 is: 1,539,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,144 : 718,264 = 718,264 : x
  2. Step 2: Convert to fraction form
    335,144/718,264 = 718,264/x
  3. Step 3: Cross multiply
    335,144x = 718,264 × 718,264
  4. Step 4: Simplify right side
    335,144x = 515,903,173,696
  5. Step 5: Solve for x
    x = 515,903,173,696/335,144
  6. Step 6: Final answer
    x = 1,539,347.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.