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Finding the Third Proportional to 591,258.38 and 913,484.25

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Solution

The third proportional to 591,258.38 and 913,484.25 is: 1,411,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,258.38 : 913,484.25 = 913,484.25 : x
  2. Step 2: Convert to fraction form
    591,258.38/913,484.25 = 913,484.25/x
  3. Step 3: Cross multiply
    591,258.38x = 913,484.25 × 913,484.25
  4. Step 4: Simplify right side
    591,258.38x = 834,453,474,998.06
  5. Step 5: Solve for x
    x = 834,453,474,998.06/591,258.38
  6. Step 6: Final answer
    x = 1,411,317.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.