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Finding the Third Proportional to 335,361 and 718,710

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Solution

The third proportional to 335,361 and 718,710 is: 1,540,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,361 : 718,710 = 718,710 : x
  2. Step 2: Convert to fraction form
    335,361/718,710 = 718,710/x
  3. Step 3: Cross multiply
    335,361x = 718,710 × 718,710
  4. Step 4: Simplify right side
    335,361x = 516,544,064,100
  5. Step 5: Solve for x
    x = 516,544,064,100/335,361
  6. Step 6: Final answer
    x = 1,540,262.77

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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.