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Finding the Third Proportional to 353,094 and 540,240

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Solution

The third proportional to 353,094 and 540,240 is: 826,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,094 : 540,240 = 540,240 : x
  2. Step 2: Convert to fraction form
    353,094/540,240 = 540,240/x
  3. Step 3: Cross multiply
    353,094x = 540,240 × 540,240
  4. Step 4: Simplify right side
    353,094x = 291,859,257,600
  5. Step 5: Solve for x
    x = 291,859,257,600/353,094
  6. Step 6: Final answer
    x = 826,576.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.