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Finding the Third Proportional to 276,840.50 and 427,066

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Solution

The third proportional to 276,840.50 and 427,066 is: 658,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,840.50 : 427,066 = 427,066 : x
  2. Step 2: Convert to fraction form
    276,840.50/427,066 = 427,066/x
  3. Step 3: Cross multiply
    276,840.50x = 427,066 × 427,066
  4. Step 4: Simplify right side
    276,840.50x = 182,385,368,356
  5. Step 5: Solve for x
    x = 182,385,368,356/276,840.50
  6. Step 6: Final answer
    x = 658,810.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.