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Finding the Third Proportional to 296,736 and 659,808

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Solution

The third proportional to 296,736 and 659,808 is: 1,467,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,736 : 659,808 = 659,808 : x
  2. Step 2: Convert to fraction form
    296,736/659,808 = 659,808/x
  3. Step 3: Cross multiply
    296,736x = 659,808 × 659,808
  4. Step 4: Simplify right side
    296,736x = 435,346,596,864
  5. Step 5: Solve for x
    x = 435,346,596,864/296,736
  6. Step 6: Final answer
    x = 1,467,117.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.