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Finding the Third Proportional to 335,160 and 718,296

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Solution

The third proportional to 335,160 and 718,296 is: 1,539,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,160 : 718,296 = 718,296 : x
  2. Step 2: Convert to fraction form
    335,160/718,296 = 718,296/x
  3. Step 3: Cross multiply
    335,160x = 718,296 × 718,296
  4. Step 4: Simplify right side
    335,160x = 515,949,143,616
  5. Step 5: Solve for x
    x = 515,949,143,616/335,160
  6. Step 6: Final answer
    x = 1,539,411.46

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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.