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Finding the Third Proportional to 304,593.75 and 660,035.25

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Solution

The third proportional to 304,593.75 and 660,035.25 is: 1,430,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,593.75 : 660,035.25 = 660,035.25 : x
  2. Step 2: Convert to fraction form
    304,593.75/660,035.25 = 660,035.25/x
  3. Step 3: Cross multiply
    304,593.75x = 660,035.25 × 660,035.25
  4. Step 4: Simplify right side
    304,593.75x = 435,646,531,242.56
  5. Step 5: Solve for x
    x = 435,646,531,242.56/304,593.75
  6. Step 6: Final answer
    x = 1,430,254.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.