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Finding the Third Proportional to 335,150 and 718,276

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Solution

The third proportional to 335,150 and 718,276 is: 1,539,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,150 : 718,276 = 718,276 : x
  2. Step 2: Convert to fraction form
    335,150/718,276 = 718,276/x
  3. Step 3: Cross multiply
    335,150x = 718,276 × 718,276
  4. Step 4: Simplify right side
    335,150x = 515,920,412,176
  5. Step 5: Solve for x
    x = 515,920,412,176/335,150
  6. Step 6: Final answer
    x = 1,539,371.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.