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Finding the Third Proportional to 242,449.88 and 530,043.75

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Solution

The third proportional to 242,449.88 and 530,043.75 is: 1,158,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,449.88 : 530,043.75 = 530,043.75 : x
  2. Step 2: Convert to fraction form
    242,449.88/530,043.75 = 530,043.75/x
  3. Step 3: Cross multiply
    242,449.88x = 530,043.75 × 530,043.75
  4. Step 4: Simplify right side
    242,449.88x = 280,946,376,914.06
  5. Step 5: Solve for x
    x = 280,946,376,914.06/242,449.88
  6. Step 6: Final answer
    x = 1,158,781.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.