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Finding the Third Proportional to 492,284 and 737,605

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Solution

The third proportional to 492,284 and 737,605 is: 1,105,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,284 : 737,605 = 737,605 : x
  2. Step 2: Convert to fraction form
    492,284/737,605 = 737,605/x
  3. Step 3: Cross multiply
    492,284x = 737,605 × 737,605
  4. Step 4: Simplify right side
    492,284x = 544,061,136,025
  5. Step 5: Solve for x
    x = 544,061,136,025/492,284
  6. Step 6: Final answer
    x = 1,105,177.37

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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.