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Finding the Third Proportional to 366,362 and 772,084

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Solution

The third proportional to 366,362 and 772,084 is: 1,627,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,362 : 772,084 = 772,084 : x
  2. Step 2: Convert to fraction form
    366,362/772,084 = 772,084/x
  3. Step 3: Cross multiply
    366,362x = 772,084 × 772,084
  4. Step 4: Simplify right side
    366,362x = 596,113,703,056
  5. Step 5: Solve for x
    x = 596,113,703,056/366,362
  6. Step 6: Final answer
    x = 1,627,116.63

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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.