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Finding the Third Proportional to 262,024.50 and 395,211

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Solution

The third proportional to 262,024.50 and 395,211 is: 596,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,024.50 : 395,211 = 395,211 : x
  2. Step 2: Convert to fraction form
    262,024.50/395,211 = 395,211/x
  3. Step 3: Cross multiply
    262,024.50x = 395,211 × 395,211
  4. Step 4: Simplify right side
    262,024.50x = 156,191,734,521
  5. Step 5: Solve for x
    x = 156,191,734,521/262,024.50
  6. Step 6: Final answer
    x = 596,095.92

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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.