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Finding the Third Proportional to 340,098.75 and 742,367.25

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Solution

The third proportional to 340,098.75 and 742,367.25 is: 1,620,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098.75 : 742,367.25 = 742,367.25 : x
  2. Step 2: Convert to fraction form
    340,098.75/742,367.25 = 742,367.25/x
  3. Step 3: Cross multiply
    340,098.75x = 742,367.25 × 742,367.25
  4. Step 4: Simplify right side
    340,098.75x = 551,109,133,872.56
  5. Step 5: Solve for x
    x = 551,109,133,872.56/340,098.75
  6. Step 6: Final answer
    x = 1,620,438.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.