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Finding the Third Proportional to 366,909.75 and 561,307.22

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Solution

The third proportional to 366,909.75 and 561,307.22 is: 858,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,909.75 : 561,307.22 = 561,307.22 : x
  2. Step 2: Convert to fraction form
    366,909.75/561,307.22 = 561,307.22/x
  3. Step 3: Cross multiply
    366,909.75x = 561,307.22 × 561,307.22
  4. Step 4: Simplify right side
    366,909.75x = 315,065,793,820.86
  5. Step 5: Solve for x
    x = 315,065,793,820.86/366,909.75
  6. Step 6: Final answer
    x = 858,701.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.