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Finding the Third Proportional to 1,028.95 and 1,495.02

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Solution

The third proportional to 1,028.95 and 1,495.02 is: 2,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.95 : 1,495.02 = 1,495.02 : x
  2. Step 2: Convert to fraction form
    1,028.95/1,495.02 = 1,495.02/x
  3. Step 3: Cross multiply
    1,028.95x = 1,495.02 × 1,495.02
  4. Step 4: Simplify right side
    1,028.95x = 2,235,083.40
  5. Step 5: Solve for x
    x = 2,235,083.40/1,028.95
  6. Step 6: Final answer
    x = 2,172.19

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.