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Finding the Third Proportional to 308,949 and 453,400.50

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Solution

The third proportional to 308,949 and 453,400.50 is: 665,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,949 : 453,400.50 = 453,400.50 : x
  2. Step 2: Convert to fraction form
    308,949/453,400.50 = 453,400.50/x
  3. Step 3: Cross multiply
    308,949x = 453,400.50 × 453,400.50
  4. Step 4: Simplify right side
    308,949x = 205,572,013,400.25
  5. Step 5: Solve for x
    x = 205,572,013,400.25/308,949
  6. Step 6: Final answer
    x = 665,391.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.