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Finding the Third Proportional to 262,694 and 416,033

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Solution

The third proportional to 262,694 and 416,033 is: 658,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,694 : 416,033 = 416,033 : x
  2. Step 2: Convert to fraction form
    262,694/416,033 = 416,033/x
  3. Step 3: Cross multiply
    262,694x = 416,033 × 416,033
  4. Step 4: Simplify right side
    262,694x = 173,083,457,089
  5. Step 5: Solve for x
    x = 173,083,457,089/262,694
  6. Step 6: Final answer
    x = 658,878.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.