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Finding the Third Proportional to 340,104 and 742,376

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Solution

The third proportional to 340,104 and 742,376 is: 1,620,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,104 : 742,376 = 742,376 : x
  2. Step 2: Convert to fraction form
    340,104/742,376 = 742,376/x
  3. Step 3: Cross multiply
    340,104x = 742,376 × 742,376
  4. Step 4: Simplify right side
    340,104x = 551,122,125,376
  5. Step 5: Solve for x
    x = 551,122,125,376/340,104
  6. Step 6: Final answer
    x = 1,620,451.76

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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.