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Finding the Third Proportional to 230,047.50 and 501,922.50

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Solution

The third proportional to 230,047.50 and 501,922.50 is: 1,095,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,047.50 : 501,922.50 = 501,922.50 : x
  2. Step 2: Convert to fraction form
    230,047.50/501,922.50 = 501,922.50/x
  3. Step 3: Cross multiply
    230,047.50x = 501,922.50 × 501,922.50
  4. Step 4: Simplify right side
    230,047.50x = 251,926,196,006.25
  5. Step 5: Solve for x
    x = 251,926,196,006.25/230,047.50
  6. Step 6: Final answer
    x = 1,095,105.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.