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Finding the Third Proportional to 341,996 and 742,403

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Solution

The third proportional to 341,996 and 742,403 is: 1,611,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996 : 742,403 = 742,403 : x
  2. Step 2: Convert to fraction form
    341,996/742,403 = 742,403/x
  3. Step 3: Cross multiply
    341,996x = 742,403 × 742,403
  4. Step 4: Simplify right side
    341,996x = 551,162,214,409
  5. Step 5: Solve for x
    x = 551,162,214,409/341,996
  6. Step 6: Final answer
    x = 1,611,604.27

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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.