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Finding the Third Proportional to 260,309.95 and 393,238.55

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Solution

The third proportional to 260,309.95 and 393,238.55 is: 594,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,309.95 : 393,238.55 = 393,238.55 : x
  2. Step 2: Convert to fraction form
    260,309.95/393,238.55 = 393,238.55/x
  3. Step 3: Cross multiply
    260,309.95x = 393,238.55 × 393,238.55
  4. Step 4: Simplify right side
    260,309.95x = 154,636,554,748.36
  5. Step 5: Solve for x
    x = 154,636,554,748.36/260,309.95
  6. Step 6: Final answer
    x = 594,047.80

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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.