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Finding the Third Proportional to 507.75 and 962.25

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Solution

The third proportional to 507.75 and 962.25 is: 1,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 962.25 = 962.25 : x
  2. Step 2: Convert to fraction form
    507.75/962.25 = 962.25/x
  3. Step 3: Cross multiply
    507.75x = 962.25 × 962.25
  4. Step 4: Simplify right side
    507.75x = 925,925.06
  5. Step 5: Solve for x
    x = 925,925.06/507.75
  6. Step 6: Final answer
    x = 1,823.58

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.