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Finding the Third Proportional to 369,964 and 796,052

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Solution

The third proportional to 369,964 and 796,052 is: 1,712,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,964 : 796,052 = 796,052 : x
  2. Step 2: Convert to fraction form
    369,964/796,052 = 796,052/x
  3. Step 3: Cross multiply
    369,964x = 796,052 × 796,052
  4. Step 4: Simplify right side
    369,964x = 633,698,786,704
  5. Step 5: Solve for x
    x = 633,698,786,704/369,964
  6. Step 6: Final answer
    x = 1,712,866.08

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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.