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Finding the Third Proportional to 183,488 and 401,944

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Solution

The third proportional to 183,488 and 401,944 is: 880,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,488 : 401,944 = 401,944 : x
  2. Step 2: Convert to fraction form
    183,488/401,944 = 401,944/x
  3. Step 3: Cross multiply
    183,488x = 401,944 × 401,944
  4. Step 4: Simplify right side
    183,488x = 161,558,979,136
  5. Step 5: Solve for x
    x = 161,558,979,136/183,488
  6. Step 6: Final answer
    x = 880,487.98

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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.