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Finding the Third Proportional to 313,640 and 471,168

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Solution

The third proportional to 313,640 and 471,168 is: 707,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,640 : 471,168 = 471,168 : x
  2. Step 2: Convert to fraction form
    313,640/471,168 = 471,168/x
  3. Step 3: Cross multiply
    313,640x = 471,168 × 471,168
  4. Step 4: Simplify right side
    313,640x = 221,999,284,224
  5. Step 5: Solve for x
    x = 221,999,284,224/313,640
  6. Step 6: Final answer
    x = 707,815.60

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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.