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Finding the Third Proportional to 281,994 and 619,806

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Solution

The third proportional to 281,994 and 619,806 is: 1,362,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,994 : 619,806 = 619,806 : x
  2. Step 2: Convert to fraction form
    281,994/619,806 = 619,806/x
  3. Step 3: Cross multiply
    281,994x = 619,806 × 619,806
  4. Step 4: Simplify right side
    281,994x = 384,159,477,636
  5. Step 5: Solve for x
    x = 384,159,477,636/281,994
  6. Step 6: Final answer
    x = 1,362,296.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.