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Finding the Third Proportional to 513,195.75 and 805,038.75

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Solution

The third proportional to 513,195.75 and 805,038.75 is: 1,262,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,195.75 : 805,038.75 = 805,038.75 : x
  2. Step 2: Convert to fraction form
    513,195.75/805,038.75 = 805,038.75/x
  3. Step 3: Cross multiply
    513,195.75x = 805,038.75 × 805,038.75
  4. Step 4: Simplify right side
    513,195.75x = 648,087,389,001.56
  5. Step 5: Solve for x
    x = 648,087,389,001.56/513,195.75
  6. Step 6: Final answer
    x = 1,262,846.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.