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Finding the Third Proportional to 408,944.50 and 893,705

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Solution

The third proportional to 408,944.50 and 893,705 is: 1,953,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,944.50 : 893,705 = 893,705 : x
  2. Step 2: Convert to fraction form
    408,944.50/893,705 = 893,705/x
  3. Step 3: Cross multiply
    408,944.50x = 893,705 × 893,705
  4. Step 4: Simplify right side
    408,944.50x = 798,708,627,025
  5. Step 5: Solve for x
    x = 798,708,627,025/408,944.50
  6. Step 6: Final answer
    x = 1,953,097.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.