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Finding the Third Proportional to 254,422.69 and 393,590.81

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Solution

The third proportional to 254,422.69 and 393,590.81 is: 608,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,422.69 : 393,590.81 = 393,590.81 : x
  2. Step 2: Convert to fraction form
    254,422.69/393,590.81 = 393,590.81/x
  3. Step 3: Cross multiply
    254,422.69x = 393,590.81 × 393,590.81
  4. Step 4: Simplify right side
    254,422.69x = 154,913,727,684.41
  5. Step 5: Solve for x
    x = 154,913,727,684.41/254,422.69
  6. Step 6: Final answer
    x = 608,883.31

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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.