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Finding the Third Proportional to 301,968 and 656,352

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Solution

The third proportional to 301,968 and 656,352 is: 1,426,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,968 : 656,352 = 656,352 : x
  2. Step 2: Convert to fraction form
    301,968/656,352 = 656,352/x
  3. Step 3: Cross multiply
    301,968x = 656,352 × 656,352
  4. Step 4: Simplify right side
    301,968x = 430,797,947,904
  5. Step 5: Solve for x
    x = 430,797,947,904/301,968
  6. Step 6: Final answer
    x = 1,426,634.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.