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Finding the Third Proportional to 242,942.63 and 530,097.75

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Solution

The third proportional to 242,942.63 and 530,097.75 is: 1,156,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,942.63 : 530,097.75 = 530,097.75 : x
  2. Step 2: Convert to fraction form
    242,942.63/530,097.75 = 530,097.75/x
  3. Step 3: Cross multiply
    242,942.63x = 530,097.75 × 530,097.75
  4. Step 4: Simplify right side
    242,942.63x = 281,003,624,555.06
  5. Step 5: Solve for x
    x = 281,003,624,555.06/242,942.63
  6. Step 6: Final answer
    x = 1,156,666.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.