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Finding the Third Proportional to 343,380.94 and 525,276.56

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Solution

The third proportional to 343,380.94 and 525,276.56 is: 803,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,380.94 : 525,276.56 = 525,276.56 : x
  2. Step 2: Convert to fraction form
    343,380.94/525,276.56 = 525,276.56/x
  3. Step 3: Cross multiply
    343,380.94x = 525,276.56 × 525,276.56
  4. Step 4: Simplify right side
    343,380.94x = 275,915,467,111.82
  5. Step 5: Solve for x
    x = 275,915,467,111.82/343,380.94
  6. Step 6: Final answer
    x = 803,525.87

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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.