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Finding the Third Proportional to 613,009.27 and 841,493.81

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Solution

The third proportional to 613,009.27 and 841,493.81 is: 1,155,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,009.27 : 841,493.81 = 841,493.81 : x
  2. Step 2: Convert to fraction form
    613,009.27/841,493.81 = 841,493.81/x
  3. Step 3: Cross multiply
    613,009.27x = 841,493.81 × 841,493.81
  4. Step 4: Simplify right side
    613,009.27x = 708,111,836,475.79
  5. Step 5: Solve for x
    x = 708,111,836,475.79/613,009.27
  6. Step 6: Final answer
    x = 1,155,140.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.