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Finding the Third Proportional to 305,710 and 407,723

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Solution

The third proportional to 305,710 and 407,723 is: 543,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,710 : 407,723 = 407,723 : x
  2. Step 2: Convert to fraction form
    305,710/407,723 = 407,723/x
  3. Step 3: Cross multiply
    305,710x = 407,723 × 407,723
  4. Step 4: Simplify right side
    305,710x = 166,238,044,729
  5. Step 5: Solve for x
    x = 166,238,044,729/305,710
  6. Step 6: Final answer
    x = 543,776.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.