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Finding the Third Proportional to 370,125.75 and 557,922.75

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Solution

The third proportional to 370,125.75 and 557,922.75 is: 841,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,125.75 : 557,922.75 = 557,922.75 : x
  2. Step 2: Convert to fraction form
    370,125.75/557,922.75 = 557,922.75/x
  3. Step 3: Cross multiply
    370,125.75x = 557,922.75 × 557,922.75
  4. Step 4: Simplify right side
    370,125.75x = 311,277,794,967.56
  5. Step 5: Solve for x
    x = 311,277,794,967.56/370,125.75
  6. Step 6: Final answer
    x = 841,005.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.