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Finding the Third Proportional to 369,468 and 796,590

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Solution

The third proportional to 369,468 and 796,590 is: 1,717,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,468 : 796,590 = 796,590 : x
  2. Step 2: Convert to fraction form
    369,468/796,590 = 796,590/x
  3. Step 3: Cross multiply
    369,468x = 796,590 × 796,590
  4. Step 4: Simplify right side
    369,468x = 634,555,628,100
  5. Step 5: Solve for x
    x = 634,555,628,100/369,468
  6. Step 6: Final answer
    x = 1,717,484.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.