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Finding the Third Proportional to 536,152.50 and 833,631.75

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Solution

The third proportional to 536,152.50 and 833,631.75 is: 1,296,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,152.50 : 833,631.75 = 833,631.75 : x
  2. Step 2: Convert to fraction form
    536,152.50/833,631.75 = 833,631.75/x
  3. Step 3: Cross multiply
    536,152.50x = 833,631.75 × 833,631.75
  4. Step 4: Simplify right side
    536,152.50x = 694,941,894,608.06
  5. Step 5: Solve for x
    x = 694,941,894,608.06/536,152.50
  6. Step 6: Final answer
    x = 1,296,164.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.