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Finding the Third Proportional to 343,377 and 743,955.75

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Solution

The third proportional to 343,377 and 743,955.75 is: 1,611,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,377 : 743,955.75 = 743,955.75 : x
  2. Step 2: Convert to fraction form
    343,377/743,955.75 = 743,955.75/x
  3. Step 3: Cross multiply
    343,377x = 743,955.75 × 743,955.75
  4. Step 4: Simplify right side
    343,377x = 553,470,157,958.06
  5. Step 5: Solve for x
    x = 553,470,157,958.06/343,377
  6. Step 6: Final answer
    x = 1,611,844.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.