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Finding the Third Proportional to 348,723 and 538,858.50

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Solution

The third proportional to 348,723 and 538,858.50 is: 832,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,723 : 538,858.50 = 538,858.50 : x
  2. Step 2: Convert to fraction form
    348,723/538,858.50 = 538,858.50/x
  3. Step 3: Cross multiply
    348,723x = 538,858.50 × 538,858.50
  4. Step 4: Simplify right side
    348,723x = 290,368,483,022.25
  5. Step 5: Solve for x
    x = 290,368,483,022.25/348,723
  6. Step 6: Final answer
    x = 832,662.26

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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.