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Finding the Third Proportional to 514,167.75 and 782,196.75

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Solution

The third proportional to 514,167.75 and 782,196.75 is: 1,189,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,167.75 : 782,196.75 = 782,196.75 : x
  2. Step 2: Convert to fraction form
    514,167.75/782,196.75 = 782,196.75/x
  3. Step 3: Cross multiply
    514,167.75x = 782,196.75 × 782,196.75
  4. Step 4: Simplify right side
    514,167.75x = 611,831,755,710.56
  5. Step 5: Solve for x
    x = 611,831,755,710.56/514,167.75
  6. Step 6: Final answer
    x = 1,189,945.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.