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Finding the Third Proportional to 423,640.50 and 931,242

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Solution

The third proportional to 423,640.50 and 931,242 is: 2,047,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,640.50 : 931,242 = 931,242 : x
  2. Step 2: Convert to fraction form
    423,640.50/931,242 = 931,242/x
  3. Step 3: Cross multiply
    423,640.50x = 931,242 × 931,242
  4. Step 4: Simplify right side
    423,640.50x = 867,211,662,564
  5. Step 5: Solve for x
    x = 867,211,662,564/423,640.50
  6. Step 6: Final answer
    x = 2,047,046.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.