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Finding the Third Proportional to 234,814.50 and 502,833.38

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Solution

The third proportional to 234,814.50 and 502,833.38 is: 1,076,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,814.50 : 502,833.38 = 502,833.38 : x
  2. Step 2: Convert to fraction form
    234,814.50/502,833.38 = 502,833.38/x
  3. Step 3: Cross multiply
    234,814.50x = 502,833.38 × 502,833.38
  4. Step 4: Simplify right side
    234,814.50x = 252,841,403,013.89
  5. Step 5: Solve for x
    x = 252,841,403,013.89/234,814.50
  6. Step 6: Final answer
    x = 1,076,770.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.