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Finding the Third Proportional to 366,723 and 560,986

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Solution

The third proportional to 366,723 and 560,986 is: 858,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,723 : 560,986 = 560,986 : x
  2. Step 2: Convert to fraction form
    366,723/560,986 = 560,986/x
  3. Step 3: Cross multiply
    366,723x = 560,986 × 560,986
  4. Step 4: Simplify right side
    366,723x = 314,705,292,196
  5. Step 5: Solve for x
    x = 314,705,292,196/366,723
  6. Step 6: Final answer
    x = 858,155.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.