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Finding the Third Proportional to 366,633 and 556,983

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Solution

The third proportional to 366,633 and 556,983 is: 846,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,633 : 556,983 = 556,983 : x
  2. Step 2: Convert to fraction form
    366,633/556,983 = 556,983/x
  3. Step 3: Cross multiply
    366,633x = 556,983 × 556,983
  4. Step 4: Simplify right side
    366,633x = 310,230,062,289
  5. Step 5: Solve for x
    x = 310,230,062,289/366,633
  6. Step 6: Final answer
    x = 846,159.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.