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Finding the Third Proportional to 535,240 and 782,763

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Solution

The third proportional to 535,240 and 782,763 is: 1,144,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,240 : 782,763 = 782,763 : x
  2. Step 2: Convert to fraction form
    535,240/782,763 = 782,763/x
  3. Step 3: Cross multiply
    535,240x = 782,763 × 782,763
  4. Step 4: Simplify right side
    535,240x = 612,717,914,169
  5. Step 5: Solve for x
    x = 612,717,914,169/535,240
  6. Step 6: Final answer
    x = 1,144,753.59

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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.