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Finding the Third Proportional to 335,134 and 718,240

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Solution

The third proportional to 335,134 and 718,240 is: 1,539,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,134 : 718,240 = 718,240 : x
  2. Step 2: Convert to fraction form
    335,134/718,240 = 718,240/x
  3. Step 3: Cross multiply
    335,134x = 718,240 × 718,240
  4. Step 4: Simplify right side
    335,134x = 515,868,697,600
  5. Step 5: Solve for x
    x = 515,868,697,600/335,134
  6. Step 6: Final answer
    x = 1,539,290.84

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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.