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Finding the Third Proportional to 497 and 1,235

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Solution

The third proportional to 497 and 1,235 is: 3,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 1,235 = 1,235 : x
  2. Step 2: Convert to fraction form
    497/1,235 = 1,235/x
  3. Step 3: Cross multiply
    497x = 1,235 × 1,235
  4. Step 4: Simplify right side
    497x = 1,525,225
  5. Step 5: Solve for x
    x = 1,525,225/497
  6. Step 6: Final answer
    x = 3,068.86

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.