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Finding the Third Proportional to 435,427 and 659,703

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Solution

The third proportional to 435,427 and 659,703 is: 999,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,427 : 659,703 = 659,703 : x
  2. Step 2: Convert to fraction form
    435,427/659,703 = 659,703/x
  3. Step 3: Cross multiply
    435,427x = 659,703 × 659,703
  4. Step 4: Simplify right side
    435,427x = 435,208,048,209
  5. Step 5: Solve for x
    x = 435,208,048,209/435,427
  6. Step 6: Final answer
    x = 999,497.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.