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Finding the Third Proportional to 282,011 and 577,777

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Solution

The third proportional to 282,011 and 577,777 is: 1,183,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,011 : 577,777 = 577,777 : x
  2. Step 2: Convert to fraction form
    282,011/577,777 = 577,777/x
  3. Step 3: Cross multiply
    282,011x = 577,777 × 577,777
  4. Step 4: Simplify right side
    282,011x = 333,826,261,729
  5. Step 5: Solve for x
    x = 333,826,261,729/282,011
  6. Step 6: Final answer
    x = 1,183,734.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.