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Finding the Third Proportional to 233,920 and 352,984

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Solution

The third proportional to 233,920 and 352,984 is: 532,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,920 : 352,984 = 352,984 : x
  2. Step 2: Convert to fraction form
    233,920/352,984 = 352,984/x
  3. Step 3: Cross multiply
    233,920x = 352,984 × 352,984
  4. Step 4: Simplify right side
    233,920x = 124,597,704,256
  5. Step 5: Solve for x
    x = 124,597,704,256/233,920
  6. Step 6: Final answer
    x = 532,650.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.