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Finding the Third Proportional to 290,484 and 400,014

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Solution

The third proportional to 290,484 and 400,014 is: 550,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,484 : 400,014 = 400,014 : x
  2. Step 2: Convert to fraction form
    290,484/400,014 = 400,014/x
  3. Step 3: Cross multiply
    290,484x = 400,014 × 400,014
  4. Step 4: Simplify right side
    290,484x = 160,011,200,196
  5. Step 5: Solve for x
    x = 160,011,200,196/290,484
  6. Step 6: Final answer
    x = 550,843.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.