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Finding the Third Proportional to 416,380.50 and 876,258

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Solution

The third proportional to 416,380.50 and 876,258 is: 1,844,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,380.50 : 876,258 = 876,258 : x
  2. Step 2: Convert to fraction form
    416,380.50/876,258 = 876,258/x
  3. Step 3: Cross multiply
    416,380.50x = 876,258 × 876,258
  4. Step 4: Simplify right side
    416,380.50x = 767,828,082,564
  5. Step 5: Solve for x
    x = 767,828,082,564/416,380.50
  6. Step 6: Final answer
    x = 1,844,053.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.