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Finding the Third Proportional to 336,964 and 726,152

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Solution

The third proportional to 336,964 and 726,152 is: 1,564,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,964 : 726,152 = 726,152 : x
  2. Step 2: Convert to fraction form
    336,964/726,152 = 726,152/x
  3. Step 3: Cross multiply
    336,964x = 726,152 × 726,152
  4. Step 4: Simplify right side
    336,964x = 527,296,727,104
  5. Step 5: Solve for x
    x = 527,296,727,104/336,964
  6. Step 6: Final answer
    x = 1,564,845.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.