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Finding the Third Proportional to 416,242 and 622,693

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Solution

The third proportional to 416,242 and 622,693 is: 931,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,242 : 622,693 = 622,693 : x
  2. Step 2: Convert to fraction form
    416,242/622,693 = 622,693/x
  3. Step 3: Cross multiply
    416,242x = 622,693 × 622,693
  4. Step 4: Simplify right side
    416,242x = 387,746,572,249
  5. Step 5: Solve for x
    x = 387,746,572,249/416,242
  6. Step 6: Final answer
    x = 931,541.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.