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Finding the Third Proportional to 233,944 and 353,020

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Solution

The third proportional to 233,944 and 353,020 is: 532,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,944 : 353,020 = 353,020 : x
  2. Step 2: Convert to fraction form
    233,944/353,020 = 353,020/x
  3. Step 3: Cross multiply
    233,944x = 353,020 × 353,020
  4. Step 4: Simplify right side
    233,944x = 124,623,120,400
  5. Step 5: Solve for x
    x = 124,623,120,400/233,944
  6. Step 6: Final answer
    x = 532,704.92

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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.