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Finding the Third Proportional to 443,446 and 685,116.50

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Solution

The third proportional to 443,446 and 685,116.50 is: 1,058,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,446 : 685,116.50 = 685,116.50 : x
  2. Step 2: Convert to fraction form
    443,446/685,116.50 = 685,116.50/x
  3. Step 3: Cross multiply
    443,446x = 685,116.50 × 685,116.50
  4. Step 4: Simplify right side
    443,446x = 469,384,618,572.25
  5. Step 5: Solve for x
    x = 469,384,618,572.25/443,446
  6. Step 6: Final answer
    x = 1,058,493.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.