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Finding the Third Proportional to 257,005.69 and 556,914.09

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Solution

The third proportional to 257,005.69 and 556,914.09 is: 1,206,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,005.69 : 556,914.09 = 556,914.09 : x
  2. Step 2: Convert to fraction form
    257,005.69/556,914.09 = 556,914.09/x
  3. Step 3: Cross multiply
    257,005.69x = 556,914.09 × 556,914.09
  4. Step 4: Simplify right side
    257,005.69x = 310,153,307,817.38
  5. Step 5: Solve for x
    x = 310,153,307,817.38/257,005.69
  6. Step 6: Final answer
    x = 1,206,795.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.