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Finding the Third Proportional to 209,014.50 and 451,563

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Solution

The third proportional to 209,014.50 and 451,563 is: 975,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,014.50 : 451,563 = 451,563 : x
  2. Step 2: Convert to fraction form
    209,014.50/451,563 = 451,563/x
  3. Step 3: Cross multiply
    209,014.50x = 451,563 × 451,563
  4. Step 4: Simplify right side
    209,014.50x = 203,909,142,969
  5. Step 5: Solve for x
    x = 203,909,142,969/209,014.50
  6. Step 6: Final answer
    x = 975,574.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.