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Finding the Third Proportional to 369,621 and 809,955

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Solution

The third proportional to 369,621 and 809,955 is: 1,774,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,621 : 809,955 = 809,955 : x
  2. Step 2: Convert to fraction form
    369,621/809,955 = 809,955/x
  3. Step 3: Cross multiply
    369,621x = 809,955 × 809,955
  4. Step 4: Simplify right side
    369,621x = 656,027,102,025
  5. Step 5: Solve for x
    x = 656,027,102,025/369,621
  6. Step 6: Final answer
    x = 1,774,864.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.