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Finding the Third Proportional to 342,006 and 742,422

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Solution

The third proportional to 342,006 and 742,422 is: 1,611,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006 : 742,422 = 742,422 : x
  2. Step 2: Convert to fraction form
    342,006/742,422 = 742,422/x
  3. Step 3: Cross multiply
    342,006x = 742,422 × 742,422
  4. Step 4: Simplify right side
    342,006x = 551,190,426,084
  5. Step 5: Solve for x
    x = 551,190,426,084/342,006
  6. Step 6: Final answer
    x = 1,611,639.64

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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.