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Finding the Third Proportional to 492,354.75 and 1,068,739.50

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Solution

The third proportional to 492,354.75 and 1,068,739.50 is: 2,319,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,354.75 : 1,068,739.50 = 1,068,739.50 : x
  2. Step 2: Convert to fraction form
    492,354.75/1,068,739.50 = 1,068,739.50/x
  3. Step 3: Cross multiply
    492,354.75x = 1,068,739.50 × 1,068,739.50
  4. Step 4: Simplify right side
    492,354.75x = 1,142,204,118,860.25
  5. Step 5: Solve for x
    x = 1,142,204,118,860.25/492,354.75
  6. Step 6: Final answer
    x = 2,319,880.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.