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Finding the Third Proportional to 472,306.50 and 1,019,241

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Solution

The third proportional to 472,306.50 and 1,019,241 is: 2,199,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,306.50 : 1,019,241 = 1,019,241 : x
  2. Step 2: Convert to fraction form
    472,306.50/1,019,241 = 1,019,241/x
  3. Step 3: Cross multiply
    472,306.50x = 1,019,241 × 1,019,241
  4. Step 4: Simplify right side
    472,306.50x = 1,038,852,216,081
  5. Step 5: Solve for x
    x = 1,038,852,216,081/472,306.50
  6. Step 6: Final answer
    x = 2,199,529.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.