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Finding the Third Proportional to 227,074.50 and 535,276.50

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Solution

The third proportional to 227,074.50 and 535,276.50 is: 1,261,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,074.50 : 535,276.50 = 535,276.50 : x
  2. Step 2: Convert to fraction form
    227,074.50/535,276.50 = 535,276.50/x
  3. Step 3: Cross multiply
    227,074.50x = 535,276.50 × 535,276.50
  4. Step 4: Simplify right side
    227,074.50x = 286,520,931,452.25
  5. Step 5: Solve for x
    x = 286,520,931,452.25/227,074.50
  6. Step 6: Final answer
    x = 1,261,792.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.