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Finding the Third Proportional to 342,348 and 532,185

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Solution

The third proportional to 342,348 and 532,185 is: 827,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,348 : 532,185 = 532,185 : x
  2. Step 2: Convert to fraction form
    342,348/532,185 = 532,185/x
  3. Step 3: Cross multiply
    342,348x = 532,185 × 532,185
  4. Step 4: Simplify right side
    342,348x = 283,220,874,225
  5. Step 5: Solve for x
    x = 283,220,874,225/342,348
  6. Step 6: Final answer
    x = 827,289.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.