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Finding the Third Proportional to 361,152 and 777,804

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Solution

The third proportional to 361,152 and 777,804 is: 1,675,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,152 : 777,804 = 777,804 : x
  2. Step 2: Convert to fraction form
    361,152/777,804 = 777,804/x
  3. Step 3: Cross multiply
    361,152x = 777,804 × 777,804
  4. Step 4: Simplify right side
    361,152x = 604,979,062,416
  5. Step 5: Solve for x
    x = 604,979,062,416/361,152
  6. Step 6: Final answer
    x = 1,675,136.96

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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.