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Finding the Third Proportional to 303,153.75 and 660,128.25

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Solution

The third proportional to 303,153.75 and 660,128.25 is: 1,437,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,153.75 : 660,128.25 = 660,128.25 : x
  2. Step 2: Convert to fraction form
    303,153.75/660,128.25 = 660,128.25/x
  3. Step 3: Cross multiply
    303,153.75x = 660,128.25 × 660,128.25
  4. Step 4: Simplify right side
    303,153.75x = 435,769,306,448.06
  5. Step 5: Solve for x
    x = 435,769,306,448.06/303,153.75
  6. Step 6: Final answer
    x = 1,437,453.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.