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Finding the Third Proportional to 247,054 and 538,716

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Solution

The third proportional to 247,054 and 538,716 is: 1,174,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,054 : 538,716 = 538,716 : x
  2. Step 2: Convert to fraction form
    247,054/538,716 = 538,716/x
  3. Step 3: Cross multiply
    247,054x = 538,716 × 538,716
  4. Step 4: Simplify right side
    247,054x = 290,214,928,656
  5. Step 5: Solve for x
    x = 290,214,928,656/247,054
  6. Step 6: Final answer
    x = 1,174,702.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.