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Finding the Third Proportional to 349,894.50 and 557,021.25

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Solution

The third proportional to 349,894.50 and 557,021.25 is: 886,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,894.50 : 557,021.25 = 557,021.25 : x
  2. Step 2: Convert to fraction form
    349,894.50/557,021.25 = 557,021.25/x
  3. Step 3: Cross multiply
    349,894.50x = 557,021.25 × 557,021.25
  4. Step 4: Simplify right side
    349,894.50x = 310,272,672,951.56
  5. Step 5: Solve for x
    x = 310,272,672,951.56/349,894.50
  6. Step 6: Final answer
    x = 886,760.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.