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Finding the Third Proportional to 241,718 and 531,292

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Solution

The third proportional to 241,718 and 531,292 is: 1,167,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,718 : 531,292 = 531,292 : x
  2. Step 2: Convert to fraction form
    241,718/531,292 = 531,292/x
  3. Step 3: Cross multiply
    241,718x = 531,292 × 531,292
  4. Step 4: Simplify right side
    241,718x = 282,271,189,264
  5. Step 5: Solve for x
    x = 282,271,189,264/241,718
  6. Step 6: Final answer
    x = 1,167,770.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.