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Finding the Third Proportional to 472,051 and 711,993

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Solution

The third proportional to 472,051 and 711,993 is: 1,073,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,051 : 711,993 = 711,993 : x
  2. Step 2: Convert to fraction form
    472,051/711,993 = 711,993/x
  3. Step 3: Cross multiply
    472,051x = 711,993 × 711,993
  4. Step 4: Simplify right side
    472,051x = 506,934,032,049
  5. Step 5: Solve for x
    x = 506,934,032,049/472,051
  6. Step 6: Final answer
    x = 1,073,896.74

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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.