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Finding the Third Proportional to 364,093.50 and 565,311

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Solution

The third proportional to 364,093.50 and 565,311 is: 877,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,093.50 : 565,311 = 565,311 : x
  2. Step 2: Convert to fraction form
    364,093.50/565,311 = 565,311/x
  3. Step 3: Cross multiply
    364,093.50x = 565,311 × 565,311
  4. Step 4: Simplify right side
    364,093.50x = 319,576,526,721
  5. Step 5: Solve for x
    x = 319,576,526,721/364,093.50
  6. Step 6: Final answer
    x = 877,732.03

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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.