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Finding the Third Proportional to 234,696.75 and 506,808.75

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Solution

The third proportional to 234,696.75 and 506,808.75 is: 1,094,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,696.75 : 506,808.75 = 506,808.75 : x
  2. Step 2: Convert to fraction form
    234,696.75/506,808.75 = 506,808.75/x
  3. Step 3: Cross multiply
    234,696.75x = 506,808.75 × 506,808.75
  4. Step 4: Simplify right side
    234,696.75x = 256,855,109,076.56
  5. Step 5: Solve for x
    x = 256,855,109,076.56/234,696.75
  6. Step 6: Final answer
    x = 1,094,412.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.