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Finding the Third Proportional to 537.50 and 837.50

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Solution

The third proportional to 537.50 and 837.50 is: 1,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 837.50 = 837.50 : x
  2. Step 2: Convert to fraction form
    537.50/837.50 = 837.50/x
  3. Step 3: Cross multiply
    537.50x = 837.50 × 837.50
  4. Step 4: Simplify right side
    537.50x = 701,406.25
  5. Step 5: Solve for x
    x = 701,406.25/537.50
  6. Step 6: Final answer
    x = 1,304.94

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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.