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Finding the Third Proportional to 262,592 and 416,855

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Solution

The third proportional to 262,592 and 416,855 is: 661,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,592 : 416,855 = 416,855 : x
  2. Step 2: Convert to fraction form
    262,592/416,855 = 416,855/x
  3. Step 3: Cross multiply
    262,592x = 416,855 × 416,855
  4. Step 4: Simplify right side
    262,592x = 173,768,091,025
  5. Step 5: Solve for x
    x = 173,768,091,025/262,592
  6. Step 6: Final answer
    x = 661,741.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.