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Finding the Third Proportional to 343,515.94 and 732,690.56

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Solution

The third proportional to 343,515.94 and 732,690.56 is: 1,562,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,515.94 : 732,690.56 = 732,690.56 : x
  2. Step 2: Convert to fraction form
    343,515.94/732,690.56 = 732,690.56/x
  3. Step 3: Cross multiply
    343,515.94x = 732,690.56 × 732,690.56
  4. Step 4: Simplify right side
    343,515.94x = 536,835,460,376.57
  5. Step 5: Solve for x
    x = 536,835,460,376.57/343,515.94
  6. Step 6: Final answer
    x = 1,562,767.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.