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Finding the Third Proportional to 690.84 and 1,055.44

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Solution

The third proportional to 690.84 and 1,055.44 is: 1,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,055.44 = 1,055.44 : x
  2. Step 2: Convert to fraction form
    690.84/1,055.44 = 1,055.44/x
  3. Step 3: Cross multiply
    690.84x = 1,055.44 × 1,055.44
  4. Step 4: Simplify right side
    690.84x = 1,113,948.32
  5. Step 5: Solve for x
    x = 1,113,948.32/690.84
  6. Step 6: Final answer
    x = 1,612.45

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Why These Related Problems?

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