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Finding the Third Proportional to 414,960 and 587,208

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Solution

The third proportional to 414,960 and 587,208 is: 830,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,960 : 587,208 = 587,208 : x
  2. Step 2: Convert to fraction form
    414,960/587,208 = 587,208/x
  3. Step 3: Cross multiply
    414,960x = 587,208 × 587,208
  4. Step 4: Simplify right side
    414,960x = 344,813,235,264
  5. Step 5: Solve for x
    x = 344,813,235,264/414,960
  6. Step 6: Final answer
    x = 830,955.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.