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Finding the Third Proportional to 432,598 and 578,667

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Solution

The third proportional to 432,598 and 578,667 is: 774,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,598 : 578,667 = 578,667 : x
  2. Step 2: Convert to fraction form
    432,598/578,667 = 578,667/x
  3. Step 3: Cross multiply
    432,598x = 578,667 × 578,667
  4. Step 4: Simplify right side
    432,598x = 334,855,496,889
  5. Step 5: Solve for x
    x = 334,855,496,889/432,598
  6. Step 6: Final answer
    x = 774,056.97

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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.