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Finding the Third Proportional to 335,989 and 725,424

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Solution

The third proportional to 335,989 and 725,424 is: 1,566,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,989 : 725,424 = 725,424 : x
  2. Step 2: Convert to fraction form
    335,989/725,424 = 725,424/x
  3. Step 3: Cross multiply
    335,989x = 725,424 × 725,424
  4. Step 4: Simplify right side
    335,989x = 526,239,979,776
  5. Step 5: Solve for x
    x = 526,239,979,776/335,989
  6. Step 6: Final answer
    x = 1,566,241.69

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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.