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Finding the Third Proportional to 274,652.06 and 601,669.13

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Solution

The third proportional to 274,652.06 and 601,669.13 is: 1,318,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,652.06 : 601,669.13 = 601,669.13 : x
  2. Step 2: Convert to fraction form
    274,652.06/601,669.13 = 601,669.13/x
  3. Step 3: Cross multiply
    274,652.06x = 601,669.13 × 601,669.13
  4. Step 4: Simplify right side
    274,652.06x = 362,005,735,978.27
  5. Step 5: Solve for x
    x = 362,005,735,978.27/274,652.06
  6. Step 6: Final answer
    x = 1,318,052.13

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Why These Related Problems?

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