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Finding the Third Proportional to 364,081.50 and 565,292.25

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Solution

The third proportional to 364,081.50 and 565,292.25 is: 877,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,081.50 : 565,292.25 = 565,292.25 : x
  2. Step 2: Convert to fraction form
    364,081.50/565,292.25 = 565,292.25/x
  3. Step 3: Cross multiply
    364,081.50x = 565,292.25 × 565,292.25
  4. Step 4: Simplify right side
    364,081.50x = 319,555,327,910.06
  5. Step 5: Solve for x
    x = 319,555,327,910.06/364,081.50
  6. Step 6: Final answer
    x = 877,702.73

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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.