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Finding the Third Proportional to 297,816.75 and 642,289.50

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Solution

The third proportional to 297,816.75 and 642,289.50 is: 1,385,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816.75 : 642,289.50 = 642,289.50 : x
  2. Step 2: Convert to fraction form
    297,816.75/642,289.50 = 642,289.50/x
  3. Step 3: Cross multiply
    297,816.75x = 642,289.50 × 642,289.50
  4. Step 4: Simplify right side
    297,816.75x = 412,535,801,810.25
  5. Step 5: Solve for x
    x = 412,535,801,810.25/297,816.75
  6. Step 6: Final answer
    x = 1,385,200.13

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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.