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Finding the Third Proportional to 385,999.13 and 850,527.75

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Solution

The third proportional to 385,999.13 and 850,527.75 is: 1,874,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,999.13 : 850,527.75 = 850,527.75 : x
  2. Step 2: Convert to fraction form
    385,999.13/850,527.75 = 850,527.75/x
  3. Step 3: Cross multiply
    385,999.13x = 850,527.75 × 850,527.75
  4. Step 4: Simplify right side
    385,999.13x = 723,397,453,520.06
  5. Step 5: Solve for x
    x = 723,397,453,520.06/385,999.13
  6. Step 6: Final answer
    x = 1,874,090.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.