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Finding the Third Proportional to 458.75 and 962.50

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Solution

The third proportional to 458.75 and 962.50 is: 2,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 962.50 = 962.50 : x
  2. Step 2: Convert to fraction form
    458.75/962.50 = 962.50/x
  3. Step 3: Cross multiply
    458.75x = 962.50 × 962.50
  4. Step 4: Simplify right side
    458.75x = 926,406.25
  5. Step 5: Solve for x
    x = 926,406.25/458.75
  6. Step 6: Final answer
    x = 2,019.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.