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Finding the Third Proportional to 262,350 and 417,658.50

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Solution

The third proportional to 262,350 and 417,658.50 is: 664,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,350 : 417,658.50 = 417,658.50 : x
  2. Step 2: Convert to fraction form
    262,350/417,658.50 = 417,658.50/x
  3. Step 3: Cross multiply
    262,350x = 417,658.50 × 417,658.50
  4. Step 4: Simplify right side
    262,350x = 174,438,622,622.25
  5. Step 5: Solve for x
    x = 174,438,622,622.25/262,350
  6. Step 6: Final answer
    x = 664,908.03

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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.