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Finding the Third Proportional to 186,928 and 404,944

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Solution

The third proportional to 186,928 and 404,944 is: 877,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,928 : 404,944 = 404,944 : x
  2. Step 2: Convert to fraction form
    186,928/404,944 = 404,944/x
  3. Step 3: Cross multiply
    186,928x = 404,944 × 404,944
  4. Step 4: Simplify right side
    186,928x = 163,979,643,136
  5. Step 5: Solve for x
    x = 163,979,643,136/186,928
  6. Step 6: Final answer
    x = 877,234.25

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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.