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Finding the Third Proportional to 904.08 and 1,401.89

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Solution

The third proportional to 904.08 and 1,401.89 is: 2,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.08 : 1,401.89 = 1,401.89 : x
  2. Step 2: Convert to fraction form
    904.08/1,401.89 = 1,401.89/x
  3. Step 3: Cross multiply
    904.08x = 1,401.89 × 1,401.89
  4. Step 4: Simplify right side
    904.08x = 1,965,297.32
  5. Step 5: Solve for x
    x = 1,965,297.32/904.08
  6. Step 6: Final answer
    x = 2,173.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.