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Finding the Third Proportional to 304,027.59 and 703,742.34

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Solution

The third proportional to 304,027.59 and 703,742.34 is: 1,628,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,027.59 : 703,742.34 = 703,742.34 : x
  2. Step 2: Convert to fraction form
    304,027.59/703,742.34 = 703,742.34/x
  3. Step 3: Cross multiply
    304,027.59x = 703,742.34 × 703,742.34
  4. Step 4: Simplify right side
    304,027.59x = 495,253,286,386.74
  5. Step 5: Solve for x
    x = 495,253,286,386.74/304,027.59
  6. Step 6: Final answer
    x = 1,628,974.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.