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Finding the Third Proportional to 369,480 and 796,644

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Solution

The third proportional to 369,480 and 796,644 is: 1,717,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,480 : 796,644 = 796,644 : x
  2. Step 2: Convert to fraction form
    369,480/796,644 = 796,644/x
  3. Step 3: Cross multiply
    369,480x = 796,644 × 796,644
  4. Step 4: Simplify right side
    369,480x = 634,641,662,736
  5. Step 5: Solve for x
    x = 634,641,662,736/369,480
  6. Step 6: Final answer
    x = 1,717,661.75

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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.