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Finding the Third Proportional to 430,602 and 672,063

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Solution

The third proportional to 430,602 and 672,063 is: 1,048,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,602 : 672,063 = 672,063 : x
  2. Step 2: Convert to fraction form
    430,602/672,063 = 672,063/x
  3. Step 3: Cross multiply
    430,602x = 672,063 × 672,063
  4. Step 4: Simplify right side
    430,602x = 451,668,675,969
  5. Step 5: Solve for x
    x = 451,668,675,969/430,602
  6. Step 6: Final answer
    x = 1,048,923.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.