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Finding the Third Proportional to 432,586 and 578,648

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Solution

The third proportional to 432,586 and 578,648 is: 774,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,586 : 578,648 = 578,648 : x
  2. Step 2: Convert to fraction form
    432,586/578,648 = 578,648/x
  3. Step 3: Cross multiply
    432,586x = 578,648 × 578,648
  4. Step 4: Simplify right side
    432,586x = 334,833,507,904
  5. Step 5: Solve for x
    x = 334,833,507,904/432,586
  6. Step 6: Final answer
    x = 774,027.61

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.