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Finding the Third Proportional to 285,135 and 426,853.50

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Solution

The third proportional to 285,135 and 426,853.50 is: 639,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,135 : 426,853.50 = 426,853.50 : x
  2. Step 2: Convert to fraction form
    285,135/426,853.50 = 426,853.50/x
  3. Step 3: Cross multiply
    285,135x = 426,853.50 × 426,853.50
  4. Step 4: Simplify right side
    285,135x = 182,203,910,462.25
  5. Step 5: Solve for x
    x = 182,203,910,462.25/285,135
  6. Step 6: Final answer
    x = 639,009.28

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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.