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Finding the Third Proportional to 285,709.50 and 427,162.50

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Solution

The third proportional to 285,709.50 and 427,162.50 is: 638,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,709.50 : 427,162.50 = 427,162.50 : x
  2. Step 2: Convert to fraction form
    285,709.50/427,162.50 = 427,162.50/x
  3. Step 3: Cross multiply
    285,709.50x = 427,162.50 × 427,162.50
  4. Step 4: Simplify right side
    285,709.50x = 182,467,801,406.25
  5. Step 5: Solve for x
    x = 182,467,801,406.25/285,709.50
  6. Step 6: Final answer
    x = 638,648.00

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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.