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Finding the Third Proportional to 284,426.86 and 611,064

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Solution

The third proportional to 284,426.86 and 611,064 is: 1,312,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,426.86 : 611,064 = 611,064 : x
  2. Step 2: Convert to fraction form
    284,426.86/611,064 = 611,064/x
  3. Step 3: Cross multiply
    284,426.86x = 611,064 × 611,064
  4. Step 4: Simplify right side
    284,426.86x = 373,399,212,096
  5. Step 5: Solve for x
    x = 373,399,212,096/284,426.86
  6. Step 6: Final answer
    x = 1,312,812.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.