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Finding the Third Proportional to 410,775.75 and 613,941.75

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Solution

The third proportional to 410,775.75 and 613,941.75 is: 917,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,775.75 : 613,941.75 = 613,941.75 : x
  2. Step 2: Convert to fraction form
    410,775.75/613,941.75 = 613,941.75/x
  3. Step 3: Cross multiply
    410,775.75x = 613,941.75 × 613,941.75
  4. Step 4: Simplify right side
    410,775.75x = 376,924,472,393.06
  5. Step 5: Solve for x
    x = 376,924,472,393.06/410,775.75
  6. Step 6: Final answer
    x = 917,591.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.