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Finding the Third Proportional to 535,273 and 782,805

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Solution

The third proportional to 535,273 and 782,805 is: 1,144,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,273 : 782,805 = 782,805 : x
  2. Step 2: Convert to fraction form
    535,273/782,805 = 782,805/x
  3. Step 3: Cross multiply
    535,273x = 782,805 × 782,805
  4. Step 4: Simplify right side
    535,273x = 612,783,668,025
  5. Step 5: Solve for x
    x = 612,783,668,025/535,273
  6. Step 6: Final answer
    x = 1,144,805.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.