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Finding the Third Proportional to 355,828.50 and 550,365

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Solution

The third proportional to 355,828.50 and 550,365 is: 851,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,828.50 : 550,365 = 550,365 : x
  2. Step 2: Convert to fraction form
    355,828.50/550,365 = 550,365/x
  3. Step 3: Cross multiply
    355,828.50x = 550,365 × 550,365
  4. Step 4: Simplify right side
    355,828.50x = 302,901,633,225
  5. Step 5: Solve for x
    x = 302,901,633,225/355,828.50
  6. Step 6: Final answer
    x = 851,257.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.