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Finding the Third Proportional to 350,946 and 533,805

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Solution

The third proportional to 350,946 and 533,805 is: 811,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,946 : 533,805 = 533,805 : x
  2. Step 2: Convert to fraction form
    350,946/533,805 = 533,805/x
  3. Step 3: Cross multiply
    350,946x = 533,805 × 533,805
  4. Step 4: Simplify right side
    350,946x = 284,947,778,025
  5. Step 5: Solve for x
    x = 284,947,778,025/350,946
  6. Step 6: Final answer
    x = 811,941.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.