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Finding the Third Proportional to 253,585.50 and 535,463.25

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Solution

The third proportional to 253,585.50 and 535,463.25 is: 1,130,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,585.50 : 535,463.25 = 535,463.25 : x
  2. Step 2: Convert to fraction form
    253,585.50/535,463.25 = 535,463.25/x
  3. Step 3: Cross multiply
    253,585.50x = 535,463.25 × 535,463.25
  4. Step 4: Simplify right side
    253,585.50x = 286,720,892,100.56
  5. Step 5: Solve for x
    x = 286,720,892,100.56/253,585.50
  6. Step 6: Final answer
    x = 1,130,667.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.