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Finding the Third Proportional to 241,262 and 509,740

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Solution

The third proportional to 241,262 and 509,740 is: 1,076,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,262 : 509,740 = 509,740 : x
  2. Step 2: Convert to fraction form
    241,262/509,740 = 509,740/x
  3. Step 3: Cross multiply
    241,262x = 509,740 × 509,740
  4. Step 4: Simplify right side
    241,262x = 259,834,867,600
  5. Step 5: Solve for x
    x = 259,834,867,600/241,262
  6. Step 6: Final answer
    x = 1,076,982.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.