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Finding the Third Proportional to 348,756 and 538,686

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Solution

The third proportional to 348,756 and 538,686 is: 832,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,756 : 538,686 = 538,686 : x
  2. Step 2: Convert to fraction form
    348,756/538,686 = 538,686/x
  3. Step 3: Cross multiply
    348,756x = 538,686 × 538,686
  4. Step 4: Simplify right side
    348,756x = 290,182,606,596
  5. Step 5: Solve for x
    x = 290,182,606,596/348,756
  6. Step 6: Final answer
    x = 832,050.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.