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Finding the Third Proportional to 262,603.50 and 416,868

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Solution

The third proportional to 262,603.50 and 416,868 is: 661,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,603.50 : 416,868 = 416,868 : x
  2. Step 2: Convert to fraction form
    262,603.50/416,868 = 416,868/x
  3. Step 3: Cross multiply
    262,603.50x = 416,868 × 416,868
  4. Step 4: Simplify right side
    262,603.50x = 173,778,929,424
  5. Step 5: Solve for x
    x = 173,778,929,424/262,603.50
  6. Step 6: Final answer
    x = 661,754.05

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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.