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Finding the Third Proportional to 492,284 and 737,608

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Solution

The third proportional to 492,284 and 737,608 is: 1,105,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,284 : 737,608 = 737,608 : x
  2. Step 2: Convert to fraction form
    492,284/737,608 = 737,608/x
  3. Step 3: Cross multiply
    492,284x = 737,608 × 737,608
  4. Step 4: Simplify right side
    492,284x = 544,065,561,664
  5. Step 5: Solve for x
    x = 544,065,561,664/492,284
  6. Step 6: Final answer
    x = 1,105,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.