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Finding the Third Proportional to 369,618 and 796,080

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Solution

The third proportional to 369,618 and 796,080 is: 1,714,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,618 : 796,080 = 796,080 : x
  2. Step 2: Convert to fraction form
    369,618/796,080 = 796,080/x
  3. Step 3: Cross multiply
    369,618x = 796,080 × 796,080
  4. Step 4: Simplify right side
    369,618x = 633,743,366,400
  5. Step 5: Solve for x
    x = 633,743,366,400/369,618
  6. Step 6: Final answer
    x = 1,714,590.11

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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.