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Finding the Third Proportional to 655,278.75 and 1,401,657.75

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Solution

The third proportional to 655,278.75 and 1,401,657.75 is: 2,998,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,278.75 : 1,401,657.75 = 1,401,657.75 : x
  2. Step 2: Convert to fraction form
    655,278.75/1,401,657.75 = 1,401,657.75/x
  3. Step 3: Cross multiply
    655,278.75x = 1,401,657.75 × 1,401,657.75
  4. Step 4: Simplify right side
    655,278.75x = 1,964,644,448,135.06
  5. Step 5: Solve for x
    x = 1,964,644,448,135.06/655,278.75
  6. Step 6: Final answer
    x = 2,998,181.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.