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Finding the Third Proportional to 341,676.75 and 742,332.75

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Solution

The third proportional to 341,676.75 and 742,332.75 is: 1,612,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,676.75 : 742,332.75 = 742,332.75 : x
  2. Step 2: Convert to fraction form
    341,676.75/742,332.75 = 742,332.75/x
  3. Step 3: Cross multiply
    341,676.75x = 742,332.75 × 742,332.75
  4. Step 4: Simplify right side
    341,676.75x = 551,057,911,722.56
  5. Step 5: Solve for x
    x = 551,057,911,722.56/341,676.75
  6. Step 6: Final answer
    x = 1,612,804.83

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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.