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Finding the Third Proportional to 443,140 and 669,996

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Solution

The third proportional to 443,140 and 669,996 is: 1,012,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,140 : 669,996 = 669,996 : x
  2. Step 2: Convert to fraction form
    443,140/669,996 = 669,996/x
  3. Step 3: Cross multiply
    443,140x = 669,996 × 669,996
  4. Step 4: Simplify right side
    443,140x = 448,894,640,016
  5. Step 5: Solve for x
    x = 448,894,640,016/443,140
  6. Step 6: Final answer
    x = 1,012,986.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.