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Finding the Third Proportional to 335,987 and 725,420

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Solution

The third proportional to 335,987 and 725,420 is: 1,566,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,987 : 725,420 = 725,420 : x
  2. Step 2: Convert to fraction form
    335,987/725,420 = 725,420/x
  3. Step 3: Cross multiply
    335,987x = 725,420 × 725,420
  4. Step 4: Simplify right side
    335,987x = 526,234,176,400
  5. Step 5: Solve for x
    x = 526,234,176,400/335,987
  6. Step 6: Final answer
    x = 1,566,233.74

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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.