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Finding the Third Proportional to 333,000 and 728,208

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Solution

The third proportional to 333,000 and 728,208 is: 1,592,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,000 : 728,208 = 728,208 : x
  2. Step 2: Convert to fraction form
    333,000/728,208 = 728,208/x
  3. Step 3: Cross multiply
    333,000x = 728,208 × 728,208
  4. Step 4: Simplify right side
    333,000x = 530,286,891,264
  5. Step 5: Solve for x
    x = 530,286,891,264/333,000
  6. Step 6: Final answer
    x = 1,592,453.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.