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Finding the Third Proportional to 442,286 and 662,733

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Solution

The third proportional to 442,286 and 662,733 is: 993,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,286 : 662,733 = 662,733 : x
  2. Step 2: Convert to fraction form
    442,286/662,733 = 662,733/x
  3. Step 3: Cross multiply
    442,286x = 662,733 × 662,733
  4. Step 4: Simplify right side
    442,286x = 439,215,029,289
  5. Step 5: Solve for x
    x = 439,215,029,289/442,286
  6. Step 6: Final answer
    x = 993,056.60

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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.