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Finding the Third Proportional to 262,726 and 384,769

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Solution

The third proportional to 262,726 and 384,769 is: 563,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,726 : 384,769 = 384,769 : x
  2. Step 2: Convert to fraction form
    262,726/384,769 = 384,769/x
  3. Step 3: Cross multiply
    262,726x = 384,769 × 384,769
  4. Step 4: Simplify right side
    262,726x = 148,047,183,361
  5. Step 5: Solve for x
    x = 148,047,183,361/262,726
  6. Step 6: Final answer
    x = 563,504.12

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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.