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Finding the Third Proportional to 472,047 and 711,989

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Solution

The third proportional to 472,047 and 711,989 is: 1,073,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,047 : 711,989 = 711,989 : x
  2. Step 2: Convert to fraction form
    472,047/711,989 = 711,989/x
  3. Step 3: Cross multiply
    472,047x = 711,989 × 711,989
  4. Step 4: Simplify right side
    472,047x = 506,928,336,121
  5. Step 5: Solve for x
    x = 506,928,336,121/472,047
  6. Step 6: Final answer
    x = 1,073,893.78

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Why These Related Problems?

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