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Finding the Third Proportional to 313,080 and 471,054

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Solution

The third proportional to 313,080 and 471,054 is: 708,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,080 : 471,054 = 471,054 : x
  2. Step 2: Convert to fraction form
    313,080/471,054 = 471,054/x
  3. Step 3: Cross multiply
    313,080x = 471,054 × 471,054
  4. Step 4: Simplify right side
    313,080x = 221,891,870,916
  5. Step 5: Solve for x
    x = 221,891,870,916/313,080
  6. Step 6: Final answer
    x = 708,738.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.