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Finding the Third Proportional to 209,812.50 and 452,794.50

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Solution

The third proportional to 209,812.50 and 452,794.50 is: 977,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,812.50 : 452,794.50 = 452,794.50 : x
  2. Step 2: Convert to fraction form
    209,812.50/452,794.50 = 452,794.50/x
  3. Step 3: Cross multiply
    209,812.50x = 452,794.50 × 452,794.50
  4. Step 4: Simplify right side
    209,812.50x = 205,022,859,230.25
  5. Step 5: Solve for x
    x = 205,022,859,230.25/209,812.50
  6. Step 6: Final answer
    x = 977,171.80

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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.