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Finding the Third Proportional to 231,474.75 and 473,675.06

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Solution

The third proportional to 231,474.75 and 473,675.06 is: 969,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,474.75 : 473,675.06 = 473,675.06 : x
  2. Step 2: Convert to fraction form
    231,474.75/473,675.06 = 473,675.06/x
  3. Step 3: Cross multiply
    231,474.75x = 473,675.06 × 473,675.06
  4. Step 4: Simplify right side
    231,474.75x = 224,368,064,834.38
  5. Step 5: Solve for x
    x = 224,368,064,834.38/231,474.75
  6. Step 6: Final answer
    x = 969,298.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.