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Finding the Third Proportional to 342,284 and 532,764

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Solution

The third proportional to 342,284 and 532,764 is: 829,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,284 : 532,764 = 532,764 : x
  2. Step 2: Convert to fraction form
    342,284/532,764 = 532,764/x
  3. Step 3: Cross multiply
    342,284x = 532,764 × 532,764
  4. Step 4: Simplify right side
    342,284x = 283,837,479,696
  5. Step 5: Solve for x
    x = 283,837,479,696/342,284
  6. Step 6: Final answer
    x = 829,245.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.