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Finding the Third Proportional to 350,102.25 and 540,695.25

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Solution

The third proportional to 350,102.25 and 540,695.25 is: 835,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,102.25 : 540,695.25 = 540,695.25 : x
  2. Step 2: Convert to fraction form
    350,102.25/540,695.25 = 540,695.25/x
  3. Step 3: Cross multiply
    350,102.25x = 540,695.25 × 540,695.25
  4. Step 4: Simplify right side
    350,102.25x = 292,351,353,372.56
  5. Step 5: Solve for x
    x = 292,351,353,372.56/350,102.25
  6. Step 6: Final answer
    x = 835,045.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.