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Finding the Third Proportional to 591,128.25 and 917,187.75

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Solution

The third proportional to 591,128.25 and 917,187.75 is: 1,423,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,128.25 : 917,187.75 = 917,187.75 : x
  2. Step 2: Convert to fraction form
    591,128.25/917,187.75 = 917,187.75/x
  3. Step 3: Cross multiply
    591,128.25x = 917,187.75 × 917,187.75
  4. Step 4: Simplify right side
    591,128.25x = 841,233,368,750.06
  5. Step 5: Solve for x
    x = 841,233,368,750.06/591,128.25
  6. Step 6: Final answer
    x = 1,423,097.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.