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Finding the Third Proportional to 673.42 and 1,051.42

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Solution

The third proportional to 673.42 and 1,051.42 is: 1,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.42 : 1,051.42 = 1,051.42 : x
  2. Step 2: Convert to fraction form
    673.42/1,051.42 = 1,051.42/x
  3. Step 3: Cross multiply
    673.42x = 1,051.42 × 1,051.42
  4. Step 4: Simplify right side
    673.42x = 1,105,479.75
  5. Step 5: Solve for x
    x = 1,105,479.75/673.42
  6. Step 6: Final answer
    x = 1,641.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.