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Finding the Third Proportional to 347,974 and 741,496

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Solution

The third proportional to 347,974 and 741,496 is: 1,580,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,974 : 741,496 = 741,496 : x
  2. Step 2: Convert to fraction form
    347,974/741,496 = 741,496/x
  3. Step 3: Cross multiply
    347,974x = 741,496 × 741,496
  4. Step 4: Simplify right side
    347,974x = 549,816,318,016
  5. Step 5: Solve for x
    x = 549,816,318,016/347,974
  6. Step 6: Final answer
    x = 1,580,050.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.