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Finding the Third Proportional to 308,957.50 and 467,793.50

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Solution

The third proportional to 308,957.50 and 467,793.50 is: 708,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,957.50 : 467,793.50 = 467,793.50 : x
  2. Step 2: Convert to fraction form
    308,957.50/467,793.50 = 467,793.50/x
  3. Step 3: Cross multiply
    308,957.50x = 467,793.50 × 467,793.50
  4. Step 4: Simplify right side
    308,957.50x = 218,830,758,642.25
  5. Step 5: Solve for x
    x = 218,830,758,642.25/308,957.50
  6. Step 6: Final answer
    x = 708,287.58

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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.