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Finding the Third Proportional to 386,144 and 590,704

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Solution

The third proportional to 386,144 and 590,704 is: 903,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,144 : 590,704 = 590,704 : x
  2. Step 2: Convert to fraction form
    386,144/590,704 = 590,704/x
  3. Step 3: Cross multiply
    386,144x = 590,704 × 590,704
  4. Step 4: Simplify right side
    386,144x = 348,931,215,616
  5. Step 5: Solve for x
    x = 348,931,215,616/386,144
  6. Step 6: Final answer
    x = 903,629.77

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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.