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Finding the Third Proportional to 465,770 and 703,084

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Solution

The third proportional to 465,770 and 703,084 is: 1,061,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,770 : 703,084 = 703,084 : x
  2. Step 2: Convert to fraction form
    465,770/703,084 = 703,084/x
  3. Step 3: Cross multiply
    465,770x = 703,084 × 703,084
  4. Step 4: Simplify right side
    465,770x = 494,327,111,056
  5. Step 5: Solve for x
    x = 494,327,111,056/465,770
  6. Step 6: Final answer
    x = 1,061,311.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.