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Finding the Third Proportional to 241,088 and 515,390

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Solution

The third proportional to 241,088 and 515,390 is: 1,101,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,088 : 515,390 = 515,390 : x
  2. Step 2: Convert to fraction form
    241,088/515,390 = 515,390/x
  3. Step 3: Cross multiply
    241,088x = 515,390 × 515,390
  4. Step 4: Simplify right side
    241,088x = 265,626,852,100
  5. Step 5: Solve for x
    x = 265,626,852,100/241,088
  6. Step 6: Final answer
    x = 1,101,783.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.