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Finding the Third Proportional to 364,143.09 and 850,522.78

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Solution

The third proportional to 364,143.09 and 850,522.78 is: 1,986,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,143.09 : 850,522.78 = 850,522.78 : x
  2. Step 2: Convert to fraction form
    364,143.09/850,522.78 = 850,522.78/x
  3. Step 3: Cross multiply
    364,143.09x = 850,522.78 × 850,522.78
  4. Step 4: Simplify right side
    364,143.09x = 723,389,001,425.24
  5. Step 5: Solve for x
    x = 723,389,001,425.24/364,143.09
  6. Step 6: Final answer
    x = 1,986,551.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.