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Finding the Third Proportional to 307,689.50 and 664,587

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Solution

The third proportional to 307,689.50 and 664,587 is: 1,435,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,689.50 : 664,587 = 664,587 : x
  2. Step 2: Convert to fraction form
    307,689.50/664,587 = 664,587/x
  3. Step 3: Cross multiply
    307,689.50x = 664,587 × 664,587
  4. Step 4: Simplify right side
    307,689.50x = 441,675,880,569
  5. Step 5: Solve for x
    x = 441,675,880,569/307,689.50
  6. Step 6: Final answer
    x = 1,435,459.71

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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.