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Finding the Third Proportional to 327,135.38 and 492,341.63

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Solution

The third proportional to 327,135.38 and 492,341.63 is: 740,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,135.38 : 492,341.63 = 492,341.63 : x
  2. Step 2: Convert to fraction form
    327,135.38/492,341.63 = 492,341.63/x
  3. Step 3: Cross multiply
    327,135.38x = 492,341.63 × 492,341.63
  4. Step 4: Simplify right side
    327,135.38x = 242,400,275,707.64
  5. Step 5: Solve for x
    x = 242,400,275,707.64/327,135.38
  6. Step 6: Final answer
    x = 740,978.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.