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Finding the Third Proportional to 369,863 and 796,862

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Solution

The third proportional to 369,863 and 796,862 is: 1,716,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,863 : 796,862 = 796,862 : x
  2. Step 2: Convert to fraction form
    369,863/796,862 = 796,862/x
  3. Step 3: Cross multiply
    369,863x = 796,862 × 796,862
  4. Step 4: Simplify right side
    369,863x = 634,989,047,044
  5. Step 5: Solve for x
    x = 634,989,047,044/369,863
  6. Step 6: Final answer
    x = 1,716,822.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.