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Finding the Third Proportional to 351,186 and 744,168

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Solution

The third proportional to 351,186 and 744,168 is: 1,576,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,186 : 744,168 = 744,168 : x
  2. Step 2: Convert to fraction form
    351,186/744,168 = 744,168/x
  3. Step 3: Cross multiply
    351,186x = 744,168 × 744,168
  4. Step 4: Simplify right side
    351,186x = 553,786,012,224
  5. Step 5: Solve for x
    x = 553,786,012,224/351,186
  6. Step 6: Final answer
    x = 1,576,902.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.