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Finding the Third Proportional to 283,485 and 426,509.50

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Solution

The third proportional to 283,485 and 426,509.50 is: 641,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,485 : 426,509.50 = 426,509.50 : x
  2. Step 2: Convert to fraction form
    283,485/426,509.50 = 426,509.50/x
  3. Step 3: Cross multiply
    283,485x = 426,509.50 × 426,509.50
  4. Step 4: Simplify right side
    283,485x = 181,910,353,590.25
  5. Step 5: Solve for x
    x = 181,910,353,590.25/283,485
  6. Step 6: Final answer
    x = 641,693.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.