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Finding the Third Proportional to 614.75 and 973.88

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Solution

The third proportional to 614.75 and 973.88 is: 1,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 973.88 = 973.88 : x
  2. Step 2: Convert to fraction form
    614.75/973.88 = 973.88/x
  3. Step 3: Cross multiply
    614.75x = 973.88 × 973.88
  4. Step 4: Simplify right side
    614.75x = 948,432.52
  5. Step 5: Solve for x
    x = 948,432.52/614.75
  6. Step 6: Final answer
    x = 1,542.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.