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Finding the Third Proportional to 262,722 and 384,763

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Solution

The third proportional to 262,722 and 384,763 is: 563,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,722 : 384,763 = 384,763 : x
  2. Step 2: Convert to fraction form
    262,722/384,763 = 384,763/x
  3. Step 3: Cross multiply
    262,722x = 384,763 × 384,763
  4. Step 4: Simplify right side
    262,722x = 148,042,566,169
  5. Step 5: Solve for x
    x = 148,042,566,169/262,722
  6. Step 6: Final answer
    x = 563,495.12

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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.