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Finding the Third Proportional to 284,196.09 and 621,882.56

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Solution

The third proportional to 284,196.09 and 621,882.56 is: 1,360,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,196.09 : 621,882.56 = 621,882.56 : x
  2. Step 2: Convert to fraction form
    284,196.09/621,882.56 = 621,882.56/x
  3. Step 3: Cross multiply
    284,196.09x = 621,882.56 × 621,882.56
  4. Step 4: Simplify right side
    284,196.09x = 386,737,921,541.57
  5. Step 5: Solve for x
    x = 386,737,921,541.57/284,196.09
  6. Step 6: Final answer
    x = 1,360,813.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.