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Finding the Third Proportional to 439,983 and 686,266.50

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Solution

The third proportional to 439,983 and 686,266.50 is: 1,070,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,983 : 686,266.50 = 686,266.50 : x
  2. Step 2: Convert to fraction form
    439,983/686,266.50 = 686,266.50/x
  3. Step 3: Cross multiply
    439,983x = 686,266.50 × 686,266.50
  4. Step 4: Simplify right side
    439,983x = 470,961,709,022.25
  5. Step 5: Solve for x
    x = 470,961,709,022.25/439,983
  6. Step 6: Final answer
    x = 1,070,408.88

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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.