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Finding the Third Proportional to 441,058.50 and 659,824.88

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Solution

The third proportional to 441,058.50 and 659,824.88 is: 987,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,058.50 : 659,824.88 = 659,824.88 : x
  2. Step 2: Convert to fraction form
    441,058.50/659,824.88 = 659,824.88/x
  3. Step 3: Cross multiply
    441,058.50x = 659,824.88 × 659,824.88
  4. Step 4: Simplify right side
    441,058.50x = 435,368,865,668.77
  5. Step 5: Solve for x
    x = 435,368,865,668.77/441,058.50
  6. Step 6: Final answer
    x = 987,100.05

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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.