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Finding the Third Proportional to 359,595 and 775,236

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Solution

The third proportional to 359,595 and 775,236 is: 1,671,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,595 : 775,236 = 775,236 : x
  2. Step 2: Convert to fraction form
    359,595/775,236 = 775,236/x
  3. Step 3: Cross multiply
    359,595x = 775,236 × 775,236
  4. Step 4: Simplify right side
    359,595x = 600,990,855,696
  5. Step 5: Solve for x
    x = 600,990,855,696/359,595
  6. Step 6: Final answer
    x = 1,671,299.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.