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Finding the Third Proportional to 209,910.75 and 452,989.50

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Solution

The third proportional to 209,910.75 and 452,989.50 is: 977,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,910.75 : 452,989.50 = 452,989.50 : x
  2. Step 2: Convert to fraction form
    209,910.75/452,989.50 = 452,989.50/x
  3. Step 3: Cross multiply
    209,910.75x = 452,989.50 × 452,989.50
  4. Step 4: Simplify right side
    209,910.75x = 205,199,487,110.25
  5. Step 5: Solve for x
    x = 205,199,487,110.25/209,910.75
  6. Step 6: Final answer
    x = 977,555.88

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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.