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Finding the Third Proportional to 655,209 and 961,033.50

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Solution

The third proportional to 655,209 and 961,033.50 is: 1,409,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,209 : 961,033.50 = 961,033.50 : x
  2. Step 2: Convert to fraction form
    655,209/961,033.50 = 961,033.50/x
  3. Step 3: Cross multiply
    655,209x = 961,033.50 × 961,033.50
  4. Step 4: Simplify right side
    655,209x = 923,585,388,122.25
  5. Step 5: Solve for x
    x = 923,585,388,122.25/655,209
  6. Step 6: Final answer
    x = 1,409,604.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.