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Finding the Third Proportional to 223,432.31 and 496,515.94

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Solution

The third proportional to 223,432.31 and 496,515.94 is: 1,103,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,432.31 : 496,515.94 = 496,515.94 : x
  2. Step 2: Convert to fraction form
    223,432.31/496,515.94 = 496,515.94/x
  3. Step 3: Cross multiply
    223,432.31x = 496,515.94 × 496,515.94
  4. Step 4: Simplify right side
    223,432.31x = 246,528,076,191.50
  5. Step 5: Solve for x
    x = 246,528,076,191.50/223,432.31
  6. Step 6: Final answer
    x = 1,103,368.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.