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Finding the Third Proportional to 343,746 and 740,153.25

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Solution

The third proportional to 343,746 and 740,153.25 is: 1,593,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,746 : 740,153.25 = 740,153.25 : x
  2. Step 2: Convert to fraction form
    343,746/740,153.25 = 740,153.25/x
  3. Step 3: Cross multiply
    343,746x = 740,153.25 × 740,153.25
  4. Step 4: Simplify right side
    343,746x = 547,826,833,485.56
  5. Step 5: Solve for x
    x = 547,826,833,485.56/343,746
  6. Step 6: Final answer
    x = 1,593,696.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.