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Finding the Third Proportional to 710.67 and 1,106.31

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Solution

The third proportional to 710.67 and 1,106.31 is: 1,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.67 : 1,106.31 = 1,106.31 : x
  2. Step 2: Convert to fraction form
    710.67/1,106.31 = 1,106.31/x
  3. Step 3: Cross multiply
    710.67x = 1,106.31 × 1,106.31
  4. Step 4: Simplify right side
    710.67x = 1,223,931.67
  5. Step 5: Solve for x
    x = 1,223,931.67/710.67
  6. Step 6: Final answer
    x = 1,722.23

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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.