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Finding the Third Proportional to 898.03 and 1,904.77

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Solution

The third proportional to 898.03 and 1,904.77 is: 4,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.03 : 1,904.77 = 1,904.77 : x
  2. Step 2: Convert to fraction form
    898.03/1,904.77 = 1,904.77/x
  3. Step 3: Cross multiply
    898.03x = 1,904.77 × 1,904.77
  4. Step 4: Simplify right side
    898.03x = 3,628,132.09
  5. Step 5: Solve for x
    x = 3,628,132.09/898.03
  6. Step 6: Final answer
    x = 4,040.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.