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Finding the Third Proportional to 229,082.88 and 473,879.75

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Solution

The third proportional to 229,082.88 and 473,879.75 is: 980,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,082.88 : 473,879.75 = 473,879.75 : x
  2. Step 2: Convert to fraction form
    229,082.88/473,879.75 = 473,879.75/x
  3. Step 3: Cross multiply
    229,082.88x = 473,879.75 × 473,879.75
  4. Step 4: Simplify right side
    229,082.88x = 224,562,017,460.06
  5. Step 5: Solve for x
    x = 224,562,017,460.06/229,082.88
  6. Step 6: Final answer
    x = 980,265.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.