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Finding the Third Proportional to 601,629.75 and 1,307,000.25

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Solution

The third proportional to 601,629.75 and 1,307,000.25 is: 2,839,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,629.75 : 1,307,000.25 = 1,307,000.25 : x
  2. Step 2: Convert to fraction form
    601,629.75/1,307,000.25 = 1,307,000.25/x
  3. Step 3: Cross multiply
    601,629.75x = 1,307,000.25 × 1,307,000.25
  4. Step 4: Simplify right side
    601,629.75x = 1,708,249,653,500.06
  5. Step 5: Solve for x
    x = 1,708,249,653,500.06/601,629.75
  6. Step 6: Final answer
    x = 2,839,370.32

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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.