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Finding the Third Proportional to 386,232.75 and 590,838.75

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Solution

The third proportional to 386,232.75 and 590,838.75 is: 903,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,232.75 : 590,838.75 = 590,838.75 : x
  2. Step 2: Convert to fraction form
    386,232.75/590,838.75 = 590,838.75/x
  3. Step 3: Cross multiply
    386,232.75x = 590,838.75 × 590,838.75
  4. Step 4: Simplify right side
    386,232.75x = 349,090,428,501.56
  5. Step 5: Solve for x
    x = 349,090,428,501.56/386,232.75
  6. Step 6: Final answer
    x = 903,834.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.