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Finding the Third Proportional to 303,388 and 662,072

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Solution

The third proportional to 303,388 and 662,072 is: 1,444,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,388 : 662,072 = 662,072 : x
  2. Step 2: Convert to fraction form
    303,388/662,072 = 662,072/x
  3. Step 3: Cross multiply
    303,388x = 662,072 × 662,072
  4. Step 4: Simplify right side
    303,388x = 438,339,333,184
  5. Step 5: Solve for x
    x = 438,339,333,184/303,388
  6. Step 6: Final answer
    x = 1,444,814.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.