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Finding the Third Proportional to 343,869.75 and 746,817.75

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Solution

The third proportional to 343,869.75 and 746,817.75 is: 1,621,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,869.75 : 746,817.75 = 746,817.75 : x
  2. Step 2: Convert to fraction form
    343,869.75/746,817.75 = 746,817.75/x
  3. Step 3: Cross multiply
    343,869.75x = 746,817.75 × 746,817.75
  4. Step 4: Simplify right side
    343,869.75x = 557,736,751,715.06
  5. Step 5: Solve for x
    x = 557,736,751,715.06/343,869.75
  6. Step 6: Final answer
    x = 1,621,941.89

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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.