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Finding the Third Proportional to 446,830.50 and 972,285

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Solution

The third proportional to 446,830.50 and 972,285 is: 2,115,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,830.50 : 972,285 = 972,285 : x
  2. Step 2: Convert to fraction form
    446,830.50/972,285 = 972,285/x
  3. Step 3: Cross multiply
    446,830.50x = 972,285 × 972,285
  4. Step 4: Simplify right side
    446,830.50x = 945,338,121,225
  5. Step 5: Solve for x
    x = 945,338,121,225/446,830.50
  6. Step 6: Final answer
    x = 2,115,652.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.