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Finding the Third Proportional to 267,921.19 and 577,907.81

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Solution

The third proportional to 267,921.19 and 577,907.81 is: 1,246,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,921.19 : 577,907.81 = 577,907.81 : x
  2. Step 2: Convert to fraction form
    267,921.19/577,907.81 = 577,907.81/x
  3. Step 3: Cross multiply
    267,921.19x = 577,907.81 × 577,907.81
  4. Step 4: Simplify right side
    267,921.19x = 333,977,439,748.54
  5. Step 5: Solve for x
    x = 333,977,439,748.54/267,921.19
  6. Step 6: Final answer
    x = 1,246,551.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.