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Finding the Third Proportional to 522,096 and 830,763

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Solution

The third proportional to 522,096 and 830,763 is: 1,321,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,096 : 830,763 = 830,763 : x
  2. Step 2: Convert to fraction form
    522,096/830,763 = 830,763/x
  3. Step 3: Cross multiply
    522,096x = 830,763 × 830,763
  4. Step 4: Simplify right side
    522,096x = 690,167,162,169
  5. Step 5: Solve for x
    x = 690,167,162,169/522,096
  6. Step 6: Final answer
    x = 1,321,916.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.