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Finding the Third Proportional to 262,629 and 382,458

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Solution

The third proportional to 262,629 and 382,458 is: 556,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,629 : 382,458 = 382,458 : x
  2. Step 2: Convert to fraction form
    262,629/382,458 = 382,458/x
  3. Step 3: Cross multiply
    262,629x = 382,458 × 382,458
  4. Step 4: Simplify right side
    262,629x = 146,274,121,764
  5. Step 5: Solve for x
    x = 146,274,121,764/262,629
  6. Step 6: Final answer
    x = 556,961.04

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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.