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Finding the Third Proportional to 241,304 and 489,072

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Solution

The third proportional to 241,304 and 489,072 is: 991,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,304 : 489,072 = 489,072 : x
  2. Step 2: Convert to fraction form
    241,304/489,072 = 489,072/x
  3. Step 3: Cross multiply
    241,304x = 489,072 × 489,072
  4. Step 4: Simplify right side
    241,304x = 239,191,421,184
  5. Step 5: Solve for x
    x = 239,191,421,184/241,304
  6. Step 6: Final answer
    x = 991,245.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.