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Finding the Third Proportional to 369,854 and 796,678

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Solution

The third proportional to 369,854 and 796,678 is: 1,716,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,854 : 796,678 = 796,678 : x
  2. Step 2: Convert to fraction form
    369,854/796,678 = 796,678/x
  3. Step 3: Cross multiply
    369,854x = 796,678 × 796,678
  4. Step 4: Simplify right side
    369,854x = 634,695,835,684
  5. Step 5: Solve for x
    x = 634,695,835,684/369,854
  6. Step 6: Final answer
    x = 1,716,071.30

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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.