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Finding the Third Proportional to 354,613 and 531,920

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Solution

The third proportional to 354,613 and 531,920 is: 797,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,613 : 531,920 = 531,920 : x
  2. Step 2: Convert to fraction form
    354,613/531,920 = 531,920/x
  3. Step 3: Cross multiply
    354,613x = 531,920 × 531,920
  4. Step 4: Simplify right side
    354,613x = 282,938,886,400
  5. Step 5: Solve for x
    x = 282,938,886,400/354,613
  6. Step 6: Final answer
    x = 797,880.75

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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.