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Finding the Third Proportional to 377,028 and 821,801.25

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Solution

The third proportional to 377,028 and 821,801.25 is: 1,791,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,028 : 821,801.25 = 821,801.25 : x
  2. Step 2: Convert to fraction form
    377,028/821,801.25 = 821,801.25/x
  3. Step 3: Cross multiply
    377,028x = 821,801.25 × 821,801.25
  4. Step 4: Simplify right side
    377,028x = 675,357,294,501.56
  5. Step 5: Solve for x
    x = 675,357,294,501.56/377,028
  6. Step 6: Final answer
    x = 1,791,265.62

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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.