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Finding the Third Proportional to 356,725.75 and 522,290.50

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Solution

The third proportional to 356,725.75 and 522,290.50 is: 764,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,725.75 : 522,290.50 = 522,290.50 : x
  2. Step 2: Convert to fraction form
    356,725.75/522,290.50 = 522,290.50/x
  3. Step 3: Cross multiply
    356,725.75x = 522,290.50 × 522,290.50
  4. Step 4: Simplify right side
    356,725.75x = 272,787,366,390.25
  5. Step 5: Solve for x
    x = 272,787,366,390.25/356,725.75
  6. Step 6: Final answer
    x = 764,697.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.