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Finding the Third Proportional to 348,612.19 and 538,682.47

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Solution

The third proportional to 348,612.19 and 538,682.47 is: 832,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,612.19 : 538,682.47 = 538,682.47 : x
  2. Step 2: Convert to fraction form
    348,612.19/538,682.47 = 538,682.47/x
  3. Step 3: Cross multiply
    348,612.19x = 538,682.47 × 538,682.47
  4. Step 4: Simplify right side
    348,612.19x = 290,178,800,774.14
  5. Step 5: Solve for x
    x = 290,178,800,774.14/348,612.19
  6. Step 6: Final answer
    x = 832,382.82

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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.