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Finding the Third Proportional to 278,346 and 620,440

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Solution

The third proportional to 278,346 and 620,440 is: 1,382,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,346 : 620,440 = 620,440 : x
  2. Step 2: Convert to fraction form
    278,346/620,440 = 620,440/x
  3. Step 3: Cross multiply
    278,346x = 620,440 × 620,440
  4. Step 4: Simplify right side
    278,346x = 384,945,793,600
  5. Step 5: Solve for x
    x = 384,945,793,600/278,346
  6. Step 6: Final answer
    x = 1,382,975.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.