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Finding the Third Proportional to 294,039 and 414,080

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Solution

The third proportional to 294,039 and 414,080 is: 583,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039 : 414,080 = 414,080 : x
  2. Step 2: Convert to fraction form
    294,039/414,080 = 414,080/x
  3. Step 3: Cross multiply
    294,039x = 414,080 × 414,080
  4. Step 4: Simplify right side
    294,039x = 171,462,246,400
  5. Step 5: Solve for x
    x = 171,462,246,400/294,039
  6. Step 6: Final answer
    x = 583,127.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.