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Finding the Third Proportional to 278,820 and 611,004

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Solution

The third proportional to 278,820 and 611,004 is: 1,338,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,820 : 611,004 = 611,004 : x
  2. Step 2: Convert to fraction form
    278,820/611,004 = 611,004/x
  3. Step 3: Cross multiply
    278,820x = 611,004 × 611,004
  4. Step 4: Simplify right side
    278,820x = 373,325,888,016
  5. Step 5: Solve for x
    x = 373,325,888,016/278,820
  6. Step 6: Final answer
    x = 1,338,949.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.