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Finding the Third Proportional to 485,281.75 and 1,054,396.75

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Solution

The third proportional to 485,281.75 and 1,054,396.75 is: 2,290,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,281.75 : 1,054,396.75 = 1,054,396.75 : x
  2. Step 2: Convert to fraction form
    485,281.75/1,054,396.75 = 1,054,396.75/x
  3. Step 3: Cross multiply
    485,281.75x = 1,054,396.75 × 1,054,396.75
  4. Step 4: Simplify right side
    485,281.75x = 1,111,752,506,410.56
  5. Step 5: Solve for x
    x = 1,111,752,506,410.56/485,281.75
  6. Step 6: Final answer
    x = 2,290,942.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.