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Finding the Third Proportional to 303,004 and 637,356

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Solution

The third proportional to 303,004 and 637,356 is: 1,340,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,004 : 637,356 = 637,356 : x
  2. Step 2: Convert to fraction form
    303,004/637,356 = 637,356/x
  3. Step 3: Cross multiply
    303,004x = 637,356 × 637,356
  4. Step 4: Simplify right side
    303,004x = 406,222,670,736
  5. Step 5: Solve for x
    x = 406,222,670,736/303,004
  6. Step 6: Final answer
    x = 1,340,651.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.