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Finding the Third Proportional to 526,333.78 and 799,351.03

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Solution

The third proportional to 526,333.78 and 799,351.03 is: 1,213,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,333.78 : 799,351.03 = 799,351.03 : x
  2. Step 2: Convert to fraction form
    526,333.78/799,351.03 = 799,351.03/x
  3. Step 3: Cross multiply
    526,333.78x = 799,351.03 × 799,351.03
  4. Step 4: Simplify right side
    526,333.78x = 638,962,071,160.44
  5. Step 5: Solve for x
    x = 638,962,071,160.44/526,333.78
  6. Step 6: Final answer
    x = 1,213,986.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.