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Finding the Third Proportional to 439,492.50 and 659,117.25

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Solution

The third proportional to 439,492.50 and 659,117.25 is: 988,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,492.50 : 659,117.25 = 659,117.25 : x
  2. Step 2: Convert to fraction form
    439,492.50/659,117.25 = 659,117.25/x
  3. Step 3: Cross multiply
    439,492.50x = 659,117.25 × 659,117.25
  4. Step 4: Simplify right side
    439,492.50x = 434,435,549,247.56
  5. Step 5: Solve for x
    x = 434,435,549,247.56/439,492.50
  6. Step 6: Final answer
    x = 988,493.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.