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Finding the Third Proportional to 342,006 and 742,424

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Solution

The third proportional to 342,006 and 742,424 is: 1,611,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006 : 742,424 = 742,424 : x
  2. Step 2: Convert to fraction form
    342,006/742,424 = 742,424/x
  3. Step 3: Cross multiply
    342,006x = 742,424 × 742,424
  4. Step 4: Simplify right side
    342,006x = 551,193,395,776
  5. Step 5: Solve for x
    x = 551,193,395,776/342,006
  6. Step 6: Final answer
    x = 1,611,648.32

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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.