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Finding the Third Proportional to 428,775 and 846,705.75

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Solution

The third proportional to 428,775 and 846,705.75 is: 1,671,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,775 : 846,705.75 = 846,705.75 : x
  2. Step 2: Convert to fraction form
    428,775/846,705.75 = 846,705.75/x
  3. Step 3: Cross multiply
    428,775x = 846,705.75 × 846,705.75
  4. Step 4: Simplify right side
    428,775x = 716,910,627,083.06
  5. Step 5: Solve for x
    x = 716,910,627,083.06/428,775
  6. Step 6: Final answer
    x = 1,671,997.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.