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Finding the Third Proportional to 241,830 and 526,670

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Solution

The third proportional to 241,830 and 526,670 is: 1,147,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,830 : 526,670 = 526,670 : x
  2. Step 2: Convert to fraction form
    241,830/526,670 = 526,670/x
  3. Step 3: Cross multiply
    241,830x = 526,670 × 526,670
  4. Step 4: Simplify right side
    241,830x = 277,381,288,900
  5. Step 5: Solve for x
    x = 277,381,288,900/241,830
  6. Step 6: Final answer
    x = 1,147,009.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.