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Finding the Third Proportional to 670.50 and 1,030.75

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Solution

The third proportional to 670.50 and 1,030.75 is: 1,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.50 : 1,030.75 = 1,030.75 : x
  2. Step 2: Convert to fraction form
    670.50/1,030.75 = 1,030.75/x
  3. Step 3: Cross multiply
    670.50x = 1,030.75 × 1,030.75
  4. Step 4: Simplify right side
    670.50x = 1,062,445.56
  5. Step 5: Solve for x
    x = 1,062,445.56/670.50
  6. Step 6: Final answer
    x = 1,584.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.