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Finding the Third Proportional to 442,270 and 662,710

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Solution

The third proportional to 442,270 and 662,710 is: 993,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,270 : 662,710 = 662,710 : x
  2. Step 2: Convert to fraction form
    442,270/662,710 = 662,710/x
  3. Step 3: Cross multiply
    442,270x = 662,710 × 662,710
  4. Step 4: Simplify right side
    442,270x = 439,184,544,100
  5. Step 5: Solve for x
    x = 439,184,544,100/442,270
  6. Step 6: Final answer
    x = 993,023.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.