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Finding the Third Proportional to 572,697.75 and 1,233,908.25

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Solution

The third proportional to 572,697.75 and 1,233,908.25 is: 2,658,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,697.75 : 1,233,908.25 = 1,233,908.25 : x
  2. Step 2: Convert to fraction form
    572,697.75/1,233,908.25 = 1,233,908.25/x
  3. Step 3: Cross multiply
    572,697.75x = 1,233,908.25 × 1,233,908.25
  4. Step 4: Simplify right side
    572,697.75x = 1,522,529,569,418.06
  5. Step 5: Solve for x
    x = 1,522,529,569,418.06/572,697.75
  6. Step 6: Final answer
    x = 2,658,522.00

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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.