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Finding the Third Proportional to 343,878.75 and 746,833.50

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Solution

The third proportional to 343,878.75 and 746,833.50 is: 1,621,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,878.75 : 746,833.50 = 746,833.50 : x
  2. Step 2: Convert to fraction form
    343,878.75/746,833.50 = 746,833.50/x
  3. Step 3: Cross multiply
    343,878.75x = 746,833.50 × 746,833.50
  4. Step 4: Simplify right side
    343,878.75x = 557,760,276,722.25
  5. Step 5: Solve for x
    x = 557,760,276,722.25/343,878.75
  6. Step 6: Final answer
    x = 1,621,967.85

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Why These Related Problems?

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