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Finding the Third Proportional to 357,933 and 500,677

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Solution

The third proportional to 357,933 and 500,677 is: 700,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,933 : 500,677 = 500,677 : x
  2. Step 2: Convert to fraction form
    357,933/500,677 = 500,677/x
  3. Step 3: Cross multiply
    357,933x = 500,677 × 500,677
  4. Step 4: Simplify right side
    357,933x = 250,677,458,329
  5. Step 5: Solve for x
    x = 250,677,458,329/357,933
  6. Step 6: Final answer
    x = 700,347.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.