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Finding the Third Proportional to 348,666 and 538,767

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Solution

The third proportional to 348,666 and 538,767 is: 832,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,666 : 538,767 = 538,767 : x
  2. Step 2: Convert to fraction form
    348,666/538,767 = 538,767/x
  3. Step 3: Cross multiply
    348,666x = 538,767 × 538,767
  4. Step 4: Simplify right side
    348,666x = 290,269,880,289
  5. Step 5: Solve for x
    x = 290,269,880,289/348,666
  6. Step 6: Final answer
    x = 832,515.59

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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.