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Finding the Third Proportional to 365,212 and 796,862

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Solution

The third proportional to 365,212 and 796,862 is: 1,738,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,212 : 796,862 = 796,862 : x
  2. Step 2: Convert to fraction form
    365,212/796,862 = 796,862/x
  3. Step 3: Cross multiply
    365,212x = 796,862 × 796,862
  4. Step 4: Simplify right side
    365,212x = 634,989,047,044
  5. Step 5: Solve for x
    x = 634,989,047,044/365,212
  6. Step 6: Final answer
    x = 1,738,686.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.