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Finding the Third Proportional to 340,277.25 and 522,312.75

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Solution

The third proportional to 340,277.25 and 522,312.75 is: 801,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,277.25 : 522,312.75 = 522,312.75 : x
  2. Step 2: Convert to fraction form
    340,277.25/522,312.75 = 522,312.75/x
  3. Step 3: Cross multiply
    340,277.25x = 522,312.75 × 522,312.75
  4. Step 4: Simplify right side
    340,277.25x = 272,810,608,812.56
  5. Step 5: Solve for x
    x = 272,810,608,812.56/340,277.25
  6. Step 6: Final answer
    x = 801,730.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.