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Finding the Third Proportional to 342,968.77 and 509,478.29

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Solution

The third proportional to 342,968.77 and 509,478.29 is: 756,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,968.77 : 509,478.29 = 509,478.29 : x
  2. Step 2: Convert to fraction form
    342,968.77/509,478.29 = 509,478.29/x
  3. Step 3: Cross multiply
    342,968.77x = 509,478.29 × 509,478.29
  4. Step 4: Simplify right side
    342,968.77x = 259,568,131,006.35
  5. Step 5: Solve for x
    x = 259,568,131,006.35/342,968.77
  6. Step 6: Final answer
    x = 756,827.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.