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Finding the Third Proportional to 305,597.48 and 663,739.02

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Solution

The third proportional to 305,597.48 and 663,739.02 is: 1,441,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,597.48 : 663,739.02 = 663,739.02 : x
  2. Step 2: Convert to fraction form
    305,597.48/663,739.02 = 663,739.02/x
  3. Step 3: Cross multiply
    305,597.48x = 663,739.02 × 663,739.02
  4. Step 4: Simplify right side
    305,597.48x = 440,549,481,186.95
  5. Step 5: Solve for x
    x = 440,549,481,186.95/305,597.48
  6. Step 6: Final answer
    x = 1,441,600.52

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