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Finding the Third Proportional to 284,434.50 and 656,815.50

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Solution

The third proportional to 284,434.50 and 656,815.50 is: 1,516,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,434.50 : 656,815.50 = 656,815.50 : x
  2. Step 2: Convert to fraction form
    284,434.50/656,815.50 = 656,815.50/x
  3. Step 3: Cross multiply
    284,434.50x = 656,815.50 × 656,815.50
  4. Step 4: Simplify right side
    284,434.50x = 431,406,601,040.25
  5. Step 5: Solve for x
    x = 431,406,601,040.25/284,434.50
  6. Step 6: Final answer
    x = 1,516,716.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.