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Finding the Third Proportional to 443,885 and 686,543.50

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Solution

The third proportional to 443,885 and 686,543.50 is: 1,061,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,885 : 686,543.50 = 686,543.50 : x
  2. Step 2: Convert to fraction form
    443,885/686,543.50 = 686,543.50/x
  3. Step 3: Cross multiply
    443,885x = 686,543.50 × 686,543.50
  4. Step 4: Simplify right side
    443,885x = 471,341,977,392.25
  5. Step 5: Solve for x
    x = 471,341,977,392.25/443,885
  6. Step 6: Final answer
    x = 1,061,856.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.