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Finding the Third Proportional to 335,102 and 440,445

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Solution

The third proportional to 335,102 and 440,445 is: 578,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,102 : 440,445 = 440,445 : x
  2. Step 2: Convert to fraction form
    335,102/440,445 = 440,445/x
  3. Step 3: Cross multiply
    335,102x = 440,445 × 440,445
  4. Step 4: Simplify right side
    335,102x = 193,991,798,025
  5. Step 5: Solve for x
    x = 193,991,798,025/335,102
  6. Step 6: Final answer
    x = 578,903.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.