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Finding the Third Proportional to 472,048 and 711,991

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Solution

The third proportional to 472,048 and 711,991 is: 1,073,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,048 : 711,991 = 711,991 : x
  2. Step 2: Convert to fraction form
    472,048/711,991 = 711,991/x
  3. Step 3: Cross multiply
    472,048x = 711,991 × 711,991
  4. Step 4: Simplify right side
    472,048x = 506,931,184,081
  5. Step 5: Solve for x
    x = 506,931,184,081/472,048
  6. Step 6: Final answer
    x = 1,073,897.54

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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.