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Finding the Third Proportional to 465,558.75 and 743,842.13

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Solution

The third proportional to 465,558.75 and 743,842.13 is: 1,188,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,558.75 : 743,842.13 = 743,842.13 : x
  2. Step 2: Convert to fraction form
    465,558.75/743,842.13 = 743,842.13/x
  3. Step 3: Cross multiply
    465,558.75x = 743,842.13 × 743,842.13
  4. Step 4: Simplify right side
    465,558.75x = 553,301,106,924.52
  5. Step 5: Solve for x
    x = 553,301,106,924.52/465,558.75
  6. Step 6: Final answer
    x = 1,188,466.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.