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Finding the Third Proportional to 341,994 and 742,400

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Solution

The third proportional to 341,994 and 742,400 is: 1,611,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,994 : 742,400 = 742,400 : x
  2. Step 2: Convert to fraction form
    341,994/742,400 = 742,400/x
  3. Step 3: Cross multiply
    341,994x = 742,400 × 742,400
  4. Step 4: Simplify right side
    341,994x = 551,157,760,000
  5. Step 5: Solve for x
    x = 551,157,760,000/341,994
  6. Step 6: Final answer
    x = 1,611,600.67

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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.