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Finding the Third Proportional to 308,580 and 466,150.50

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Solution

The third proportional to 308,580 and 466,150.50 is: 704,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,580 : 466,150.50 = 466,150.50 : x
  2. Step 2: Convert to fraction form
    308,580/466,150.50 = 466,150.50/x
  3. Step 3: Cross multiply
    308,580x = 466,150.50 × 466,150.50
  4. Step 4: Simplify right side
    308,580x = 217,296,288,650.25
  5. Step 5: Solve for x
    x = 217,296,288,650.25/308,580
  6. Step 6: Final answer
    x = 704,181.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.