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Finding the Third Proportional to 366,216 and 771,804

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Solution

The third proportional to 366,216 and 771,804 is: 1,626,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,216 : 771,804 = 771,804 : x
  2. Step 2: Convert to fraction form
    366,216/771,804 = 771,804/x
  3. Step 3: Cross multiply
    366,216x = 771,804 × 771,804
  4. Step 4: Simplify right side
    366,216x = 595,681,414,416
  5. Step 5: Solve for x
    x = 595,681,414,416/366,216
  6. Step 6: Final answer
    x = 1,626,584.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.