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Finding the Third Proportional to 356,389.31 and 775,518.19

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Solution

The third proportional to 356,389.31 and 775,518.19 is: 1,687,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,389.31 : 775,518.19 = 775,518.19 : x
  2. Step 2: Convert to fraction form
    356,389.31/775,518.19 = 775,518.19/x
  3. Step 3: Cross multiply
    356,389.31x = 775,518.19 × 775,518.19
  4. Step 4: Simplify right side
    356,389.31x = 601,428,459,143.29
  5. Step 5: Solve for x
    x = 601,428,459,143.29/356,389.31
  6. Step 6: Final answer
    x = 1,687,560.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.