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Finding the Third Proportional to 310,896.75 and 669,360

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Solution

The third proportional to 310,896.75 and 669,360 is: 1,441,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,896.75 : 669,360 = 669,360 : x
  2. Step 2: Convert to fraction form
    310,896.75/669,360 = 669,360/x
  3. Step 3: Cross multiply
    310,896.75x = 669,360 × 669,360
  4. Step 4: Simplify right side
    310,896.75x = 448,042,809,600
  5. Step 5: Solve for x
    x = 448,042,809,600/310,896.75
  6. Step 6: Final answer
    x = 1,441,130.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.