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Finding the Third Proportional to 336,180 and 728,364

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Solution

The third proportional to 336,180 and 728,364 is: 1,578,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,180 : 728,364 = 728,364 : x
  2. Step 2: Convert to fraction form
    336,180/728,364 = 728,364/x
  3. Step 3: Cross multiply
    336,180x = 728,364 × 728,364
  4. Step 4: Simplify right side
    336,180x = 530,514,116,496
  5. Step 5: Solve for x
    x = 530,514,116,496/336,180
  6. Step 6: Final answer
    x = 1,578,065.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.