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Finding the Third Proportional to 283,545 and 613,633.50

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Solution

The third proportional to 283,545 and 613,633.50 is: 1,327,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,545 : 613,633.50 = 613,633.50 : x
  2. Step 2: Convert to fraction form
    283,545/613,633.50 = 613,633.50/x
  3. Step 3: Cross multiply
    283,545x = 613,633.50 × 613,633.50
  4. Step 4: Simplify right side
    283,545x = 376,546,072,322.25
  5. Step 5: Solve for x
    x = 376,546,072,322.25/283,545
  6. Step 6: Final answer
    x = 1,327,994.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.