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Finding the Third Proportional to 272,314.50 and 436,909.50

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Solution

The third proportional to 272,314.50 and 436,909.50 is: 700,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,314.50 : 436,909.50 = 436,909.50 : x
  2. Step 2: Convert to fraction form
    272,314.50/436,909.50 = 436,909.50/x
  3. Step 3: Cross multiply
    272,314.50x = 436,909.50 × 436,909.50
  4. Step 4: Simplify right side
    272,314.50x = 190,889,911,190.25
  5. Step 5: Solve for x
    x = 190,889,911,190.25/272,314.50
  6. Step 6: Final answer
    x = 700,990.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.