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Finding the Third Proportional to 310,105.13 and 683,066.25

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Solution

The third proportional to 310,105.13 and 683,066.25 is: 1,504,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,105.13 : 683,066.25 = 683,066.25 : x
  2. Step 2: Convert to fraction form
    310,105.13/683,066.25 = 683,066.25/x
  3. Step 3: Cross multiply
    310,105.13x = 683,066.25 × 683,066.25
  4. Step 4: Simplify right side
    310,105.13x = 466,579,501,889.06
  5. Step 5: Solve for x
    x = 466,579,501,889.06/310,105.13
  6. Step 6: Final answer
    x = 1,504,584.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.