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Finding the Third Proportional to 295,609.50 and 638,388

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Solution

The third proportional to 295,609.50 and 638,388 is: 1,378,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,609.50 : 638,388 = 638,388 : x
  2. Step 2: Convert to fraction form
    295,609.50/638,388 = 638,388/x
  3. Step 3: Cross multiply
    295,609.50x = 638,388 × 638,388
  4. Step 4: Simplify right side
    295,609.50x = 407,539,238,544
  5. Step 5: Solve for x
    x = 407,539,238,544/295,609.50
  6. Step 6: Final answer
    x = 1,378,640.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.