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Finding the Third Proportional to 477,628.50 and 649,007.25

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Solution

The third proportional to 477,628.50 and 649,007.25 is: 881,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,628.50 : 649,007.25 = 649,007.25 : x
  2. Step 2: Convert to fraction form
    477,628.50/649,007.25 = 649,007.25/x
  3. Step 3: Cross multiply
    477,628.50x = 649,007.25 × 649,007.25
  4. Step 4: Simplify right side
    477,628.50x = 421,210,410,552.56
  5. Step 5: Solve for x
    x = 421,210,410,552.56/477,628.50
  6. Step 6: Final answer
    x = 881,878.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.