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Finding the Third Proportional to 358,242 and 522,595.50

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Solution

The third proportional to 358,242 and 522,595.50 is: 762,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,242 : 522,595.50 = 522,595.50 : x
  2. Step 2: Convert to fraction form
    358,242/522,595.50 = 522,595.50/x
  3. Step 3: Cross multiply
    358,242x = 522,595.50 × 522,595.50
  4. Step 4: Simplify right side
    358,242x = 273,106,056,620.25
  5. Step 5: Solve for x
    x = 273,106,056,620.25/358,242
  6. Step 6: Final answer
    x = 762,350.75

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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.