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Finding the Third Proportional to 320,613 and 500,328.50

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Solution

The third proportional to 320,613 and 500,328.50 is: 780,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,613 : 500,328.50 = 500,328.50 : x
  2. Step 2: Convert to fraction form
    320,613/500,328.50 = 500,328.50/x
  3. Step 3: Cross multiply
    320,613x = 500,328.50 × 500,328.50
  4. Step 4: Simplify right side
    320,613x = 250,328,607,912.25
  5. Step 5: Solve for x
    x = 250,328,607,912.25/320,613
  6. Step 6: Final answer
    x = 780,781.22

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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.