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Finding the Third Proportional to 365,974 and 778,604

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Solution

The third proportional to 365,974 and 778,604 is: 1,656,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,974 : 778,604 = 778,604 : x
  2. Step 2: Convert to fraction form
    365,974/778,604 = 778,604/x
  3. Step 3: Cross multiply
    365,974x = 778,604 × 778,604
  4. Step 4: Simplify right side
    365,974x = 606,224,188,816
  5. Step 5: Solve for x
    x = 606,224,188,816/365,974
  6. Step 6: Final answer
    x = 1,656,467.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.