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Finding the Third Proportional to 234,204.75 and 503,931

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Solution

The third proportional to 234,204.75 and 503,931 is: 1,084,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,204.75 : 503,931 = 503,931 : x
  2. Step 2: Convert to fraction form
    234,204.75/503,931 = 503,931/x
  3. Step 3: Cross multiply
    234,204.75x = 503,931 × 503,931
  4. Step 4: Simplify right side
    234,204.75x = 253,946,452,761
  5. Step 5: Solve for x
    x = 253,946,452,761/234,204.75
  6. Step 6: Final answer
    x = 1,084,292.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.