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Finding the Third Proportional to 765,225 and 1,143,839.25

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Solution

The third proportional to 765,225 and 1,143,839.25 is: 1,709,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,225 : 1,143,839.25 = 1,143,839.25 : x
  2. Step 2: Convert to fraction form
    765,225/1,143,839.25 = 1,143,839.25/x
  3. Step 3: Cross multiply
    765,225x = 1,143,839.25 × 1,143,839.25
  4. Step 4: Simplify right side
    765,225x = 1,308,368,229,840.56
  5. Step 5: Solve for x
    x = 1,308,368,229,840.56/765,225
  6. Step 6: Final answer
    x = 1,709,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.