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Finding the Third Proportional to 444,540 and 689,368.50

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Solution

The third proportional to 444,540 and 689,368.50 is: 1,069,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,540 : 689,368.50 = 689,368.50 : x
  2. Step 2: Convert to fraction form
    444,540/689,368.50 = 689,368.50/x
  3. Step 3: Cross multiply
    444,540x = 689,368.50 × 689,368.50
  4. Step 4: Simplify right side
    444,540x = 475,228,928,792.25
  5. Step 5: Solve for x
    x = 475,228,928,792.25/444,540
  6. Step 6: Final answer
    x = 1,069,035.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.