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Finding the Third Proportional to 262,176 and 384,588

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Solution

The third proportional to 262,176 and 384,588 is: 564,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,176 : 384,588 = 384,588 : x
  2. Step 2: Convert to fraction form
    262,176/384,588 = 384,588/x
  3. Step 3: Cross multiply
    262,176x = 384,588 × 384,588
  4. Step 4: Simplify right side
    262,176x = 147,907,929,744
  5. Step 5: Solve for x
    x = 147,907,929,744/262,176
  6. Step 6: Final answer
    x = 564,155.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.