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Finding the Third Proportional to 335,722 and 725,063

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Solution

The third proportional to 335,722 and 725,063 is: 1,565,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,722 : 725,063 = 725,063 : x
  2. Step 2: Convert to fraction form
    335,722/725,063 = 725,063/x
  3. Step 3: Cross multiply
    335,722x = 725,063 × 725,063
  4. Step 4: Simplify right side
    335,722x = 525,716,353,969
  5. Step 5: Solve for x
    x = 525,716,353,969/335,722
  6. Step 6: Final answer
    x = 1,565,927.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.