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Finding the Third Proportional to 369,484 and 796,624

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Solution

The third proportional to 369,484 and 796,624 is: 1,717,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,484 : 796,624 = 796,624 : x
  2. Step 2: Convert to fraction form
    369,484/796,624 = 796,624/x
  3. Step 3: Cross multiply
    369,484x = 796,624 × 796,624
  4. Step 4: Simplify right side
    369,484x = 634,609,797,376
  5. Step 5: Solve for x
    x = 634,609,797,376/369,484
  6. Step 6: Final answer
    x = 1,717,556.91

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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.