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Finding the Third Proportional to 229,389.75 and 491,988.94

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Solution

The third proportional to 229,389.75 and 491,988.94 is: 1,055,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,389.75 : 491,988.94 = 491,988.94 : x
  2. Step 2: Convert to fraction form
    229,389.75/491,988.94 = 491,988.94/x
  3. Step 3: Cross multiply
    229,389.75x = 491,988.94 × 491,988.94
  4. Step 4: Simplify right side
    229,389.75x = 242,053,114,622.38
  5. Step 5: Solve for x
    x = 242,053,114,622.38/229,389.75
  6. Step 6: Final answer
    x = 1,055,204.58

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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.