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Finding the Third Proportional to 1,050.58 and 1,603.81

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Solution

The third proportional to 1,050.58 and 1,603.81 is: 2,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.58 : 1,603.81 = 1,603.81 : x
  2. Step 2: Convert to fraction form
    1,050.58/1,603.81 = 1,603.81/x
  3. Step 3: Cross multiply
    1,050.58x = 1,603.81 × 1,603.81
  4. Step 4: Simplify right side
    1,050.58x = 2,572,202.98
  5. Step 5: Solve for x
    x = 2,572,202.98/1,050.58
  6. Step 6: Final answer
    x = 2,448.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.