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Finding the Third Proportional to 517,466.25 and 712,563.75

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Solution

The third proportional to 517,466.25 and 712,563.75 is: 981,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,466.25 : 712,563.75 = 712,563.75 : x
  2. Step 2: Convert to fraction form
    517,466.25/712,563.75 = 712,563.75/x
  3. Step 3: Cross multiply
    517,466.25x = 712,563.75 × 712,563.75
  4. Step 4: Simplify right side
    517,466.25x = 507,747,097,814.06
  5. Step 5: Solve for x
    x = 507,747,097,814.06/517,466.25
  6. Step 6: Final answer
    x = 981,217.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.