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Finding the Third Proportional to 524,972.25 and 1,151,637.75

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Solution

The third proportional to 524,972.25 and 1,151,637.75 is: 2,526,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,972.25 : 1,151,637.75 = 1,151,637.75 : x
  2. Step 2: Convert to fraction form
    524,972.25/1,151,637.75 = 1,151,637.75/x
  3. Step 3: Cross multiply
    524,972.25x = 1,151,637.75 × 1,151,637.75
  4. Step 4: Simplify right side
    524,972.25x = 1,326,269,507,225.06
  5. Step 5: Solve for x
    x = 1,326,269,507,225.06/524,972.25
  6. Step 6: Final answer
    x = 2,526,361.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.