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Finding the Third Proportional to 343,363.43 and 505,122.01

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Solution

The third proportional to 343,363.43 and 505,122.01 is: 743,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,363.43 : 505,122.01 = 505,122.01 : x
  2. Step 2: Convert to fraction form
    343,363.43/505,122.01 = 505,122.01/x
  3. Step 3: Cross multiply
    343,363.43x = 505,122.01 × 505,122.01
  4. Step 4: Simplify right side
    343,363.43x = 255,148,246,722.80
  5. Step 5: Solve for x
    x = 255,148,246,722.80/343,363.43
  6. Step 6: Final answer
    x = 743,085.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.