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Finding the Third Proportional to 262,822.50 and 411,735.75

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Solution

The third proportional to 262,822.50 and 411,735.75 is: 645,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,822.50 : 411,735.75 = 411,735.75 : x
  2. Step 2: Convert to fraction form
    262,822.50/411,735.75 = 411,735.75/x
  3. Step 3: Cross multiply
    262,822.50x = 411,735.75 × 411,735.75
  4. Step 4: Simplify right side
    262,822.50x = 169,526,327,828.06
  5. Step 5: Solve for x
    x = 169,526,327,828.06/262,822.50
  6. Step 6: Final answer
    x = 645,022.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.