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Finding the Third Proportional to 284,527.69 and 595,365.19

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Solution

The third proportional to 284,527.69 and 595,365.19 is: 1,245,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,527.69 : 595,365.19 = 595,365.19 : x
  2. Step 2: Convert to fraction form
    284,527.69/595,365.19 = 595,365.19/x
  3. Step 3: Cross multiply
    284,527.69x = 595,365.19 × 595,365.19
  4. Step 4: Simplify right side
    284,527.69x = 354,459,706,486.91
  5. Step 5: Solve for x
    x = 354,459,706,486.91/284,527.69
  6. Step 6: Final answer
    x = 1,245,782.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.