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Finding the Third Proportional to 234,143 and 503,830

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Solution

The third proportional to 234,143 and 503,830 is: 1,084,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,143 : 503,830 = 503,830 : x
  2. Step 2: Convert to fraction form
    234,143/503,830 = 503,830/x
  3. Step 3: Cross multiply
    234,143x = 503,830 × 503,830
  4. Step 4: Simplify right side
    234,143x = 253,844,668,900
  5. Step 5: Solve for x
    x = 253,844,668,900/234,143
  6. Step 6: Final answer
    x = 1,084,143.75

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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.