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Finding the Third Proportional to 488,268.63 and 1,069,630.31

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Solution

The third proportional to 488,268.63 and 1,069,630.31 is: 2,343,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,268.63 : 1,069,630.31 = 1,069,630.31 : x
  2. Step 2: Convert to fraction form
    488,268.63/1,069,630.31 = 1,069,630.31/x
  3. Step 3: Cross multiply
    488,268.63x = 1,069,630.31 × 1,069,630.31
  4. Step 4: Simplify right side
    488,268.63x = 1,144,109,005,418.85
  5. Step 5: Solve for x
    x = 1,144,109,005,418.85/488,268.63
  6. Step 6: Final answer
    x = 2,343,195.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.