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Finding the Third Proportional to 404,698.50 and 874,237.50

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Solution

The third proportional to 404,698.50 and 874,237.50 is: 1,888,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,698.50 : 874,237.50 = 874,237.50 : x
  2. Step 2: Convert to fraction form
    404,698.50/874,237.50 = 874,237.50/x
  3. Step 3: Cross multiply
    404,698.50x = 874,237.50 × 874,237.50
  4. Step 4: Simplify right side
    404,698.50x = 764,291,206,406.25
  5. Step 5: Solve for x
    x = 764,291,206,406.25/404,698.50
  6. Step 6: Final answer
    x = 1,888,544.70

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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.