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Finding the Third Proportional to 213,990.75 and 506,064.38

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Solution

The third proportional to 213,990.75 and 506,064.38 is: 1,196,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,990.75 : 506,064.38 = 506,064.38 : x
  2. Step 2: Convert to fraction form
    213,990.75/506,064.38 = 506,064.38/x
  3. Step 3: Cross multiply
    213,990.75x = 506,064.38 × 506,064.38
  4. Step 4: Simplify right side
    213,990.75x = 256,101,151,644.14
  5. Step 5: Solve for x
    x = 256,101,151,644.14/213,990.75
  6. Step 6: Final answer
    x = 1,196,786.08

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.