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Finding the Third Proportional to 370,439 and 796,103

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Solution

The third proportional to 370,439 and 796,103 is: 1,710,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,439 : 796,103 = 796,103 : x
  2. Step 2: Convert to fraction form
    370,439/796,103 = 796,103/x
  3. Step 3: Cross multiply
    370,439x = 796,103 × 796,103
  4. Step 4: Simplify right side
    370,439x = 633,779,986,609
  5. Step 5: Solve for x
    x = 633,779,986,609/370,439
  6. Step 6: Final answer
    x = 1,710,888.94

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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.