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Finding the Third Proportional to 305,957.25 and 430,094.25

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Solution

The third proportional to 305,957.25 and 430,094.25 is: 604,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957.25 : 430,094.25 = 430,094.25 : x
  2. Step 2: Convert to fraction form
    305,957.25/430,094.25 = 430,094.25/x
  3. Step 3: Cross multiply
    305,957.25x = 430,094.25 × 430,094.25
  4. Step 4: Simplify right side
    305,957.25x = 184,981,063,883.06
  5. Step 5: Solve for x
    x = 184,981,063,883.06/305,957.25
  6. Step 6: Final answer
    x = 604,597.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.