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Finding the Third Proportional to 348,668 and 538,781

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Solution

The third proportional to 348,668 and 538,781 is: 832,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,668 : 538,781 = 538,781 : x
  2. Step 2: Convert to fraction form
    348,668/538,781 = 538,781/x
  3. Step 3: Cross multiply
    348,668x = 538,781 × 538,781
  4. Step 4: Simplify right side
    348,668x = 290,284,965,961
  5. Step 5: Solve for x
    x = 290,284,965,961/348,668
  6. Step 6: Final answer
    x = 832,554.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.