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Finding the Third Proportional to 431,048 and 942,352

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Solution

The third proportional to 431,048 and 942,352 is: 2,060,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,048 : 942,352 = 942,352 : x
  2. Step 2: Convert to fraction form
    431,048/942,352 = 942,352/x
  3. Step 3: Cross multiply
    431,048x = 942,352 × 942,352
  4. Step 4: Simplify right side
    431,048x = 888,027,291,904
  5. Step 5: Solve for x
    x = 888,027,291,904/431,048
  6. Step 6: Final answer
    x = 2,060,158.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.