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Finding the Third Proportional to 472,047.75 and 711,990

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Solution

The third proportional to 472,047.75 and 711,990 is: 1,073,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,047.75 : 711,990 = 711,990 : x
  2. Step 2: Convert to fraction form
    472,047.75/711,990 = 711,990/x
  3. Step 3: Cross multiply
    472,047.75x = 711,990 × 711,990
  4. Step 4: Simplify right side
    472,047.75x = 506,929,760,100
  5. Step 5: Solve for x
    x = 506,929,760,100/472,047.75
  6. Step 6: Final answer
    x = 1,073,895.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.