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Finding the Third Proportional to 719.72 and 1,088.44

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Solution

The third proportional to 719.72 and 1,088.44 is: 1,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 1,088.44 = 1,088.44 : x
  2. Step 2: Convert to fraction form
    719.72/1,088.44 = 1,088.44/x
  3. Step 3: Cross multiply
    719.72x = 1,088.44 × 1,088.44
  4. Step 4: Simplify right side
    719.72x = 1,184,696.19
  5. Step 5: Solve for x
    x = 1,184,696.19/719.72
  6. Step 6: Final answer
    x = 1,646.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.