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Finding the Third Proportional to 369,548 and 796,779

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Solution

The third proportional to 369,548 and 796,779 is: 1,717,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,548 : 796,779 = 796,779 : x
  2. Step 2: Convert to fraction form
    369,548/796,779 = 796,779/x
  3. Step 3: Cross multiply
    369,548x = 796,779 × 796,779
  4. Step 4: Simplify right side
    369,548x = 634,856,774,841
  5. Step 5: Solve for x
    x = 634,856,774,841/369,548
  6. Step 6: Final answer
    x = 1,717,927.78

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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.