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Finding the Third Proportional to 272,925 and 401,584.50

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Solution

The third proportional to 272,925 and 401,584.50 is: 590,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,925 : 401,584.50 = 401,584.50 : x
  2. Step 2: Convert to fraction form
    272,925/401,584.50 = 401,584.50/x
  3. Step 3: Cross multiply
    272,925x = 401,584.50 × 401,584.50
  4. Step 4: Simplify right side
    272,925x = 161,270,110,640.25
  5. Step 5: Solve for x
    x = 161,270,110,640.25/272,925
  6. Step 6: Final answer
    x = 590,895.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.