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Finding the Third Proportional to 320,446.13 and 498,165.19

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Solution

The third proportional to 320,446.13 and 498,165.19 is: 774,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,446.13 : 498,165.19 = 498,165.19 : x
  2. Step 2: Convert to fraction form
    320,446.13/498,165.19 = 498,165.19/x
  3. Step 3: Cross multiply
    320,446.13x = 498,165.19 × 498,165.19
  4. Step 4: Simplify right side
    320,446.13x = 248,168,554,036.91
  5. Step 5: Solve for x
    x = 248,168,554,036.91/320,446.13
  6. Step 6: Final answer
    x = 774,447.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.