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Finding the Third Proportional to 522,558 and 735,880.50

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Solution

The third proportional to 522,558 and 735,880.50 is: 1,036,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,558 : 735,880.50 = 735,880.50 : x
  2. Step 2: Convert to fraction form
    522,558/735,880.50 = 735,880.50/x
  3. Step 3: Cross multiply
    522,558x = 735,880.50 × 735,880.50
  4. Step 4: Simplify right side
    522,558x = 541,520,110,280.25
  5. Step 5: Solve for x
    x = 541,520,110,280.25/522,558
  6. Step 6: Final answer
    x = 1,036,287.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.