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Finding the Third Proportional to 361,296 and 744,459.75

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Solution

The third proportional to 361,296 and 744,459.75 is: 1,533,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,296 : 744,459.75 = 744,459.75 : x
  2. Step 2: Convert to fraction form
    361,296/744,459.75 = 744,459.75/x
  3. Step 3: Cross multiply
    361,296x = 744,459.75 × 744,459.75
  4. Step 4: Simplify right side
    361,296x = 554,220,319,370.06
  5. Step 5: Solve for x
    x = 554,220,319,370.06/361,296
  6. Step 6: Final answer
    x = 1,533,978.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.