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Finding the Third Proportional to 335,720 and 725,059

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Solution

The third proportional to 335,720 and 725,059 is: 1,565,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,720 : 725,059 = 725,059 : x
  2. Step 2: Convert to fraction form
    335,720/725,059 = 725,059/x
  3. Step 3: Cross multiply
    335,720x = 725,059 × 725,059
  4. Step 4: Simplify right side
    335,720x = 525,710,553,481
  5. Step 5: Solve for x
    x = 525,710,553,481/335,720
  6. Step 6: Final answer
    x = 1,565,919.68

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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.