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Finding the Third Proportional to 235,038 and 482,520

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Solution

The third proportional to 235,038 and 482,520 is: 990,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,038 : 482,520 = 482,520 : x
  2. Step 2: Convert to fraction form
    235,038/482,520 = 482,520/x
  3. Step 3: Cross multiply
    235,038x = 482,520 × 482,520
  4. Step 4: Simplify right side
    235,038x = 232,825,550,400
  5. Step 5: Solve for x
    x = 232,825,550,400/235,038
  6. Step 6: Final answer
    x = 990,586.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.