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Finding the Third Proportional to 701.02 and 1,088.51

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Solution

The third proportional to 701.02 and 1,088.51 is: 1,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.02 : 1,088.51 = 1,088.51 : x
  2. Step 2: Convert to fraction form
    701.02/1,088.51 = 1,088.51/x
  3. Step 3: Cross multiply
    701.02x = 1,088.51 × 1,088.51
  4. Step 4: Simplify right side
    701.02x = 1,184,849.26
  5. Step 5: Solve for x
    x = 1,184,849.26/701.02
  6. Step 6: Final answer
    x = 1,690.19

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