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Finding the Third Proportional to 536,115 and 833,575.50

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Solution

The third proportional to 536,115 and 833,575.50 is: 1,296,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,115 : 833,575.50 = 833,575.50 : x
  2. Step 2: Convert to fraction form
    536,115/833,575.50 = 833,575.50/x
  3. Step 3: Cross multiply
    536,115x = 833,575.50 × 833,575.50
  4. Step 4: Simplify right side
    536,115x = 694,848,114,200.25
  5. Step 5: Solve for x
    x = 694,848,114,200.25/536,115
  6. Step 6: Final answer
    x = 1,296,080.35

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