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Finding the Third Proportional to 484,382 and 726,735

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Solution

The third proportional to 484,382 and 726,735 is: 1,090,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,382 : 726,735 = 726,735 : x
  2. Step 2: Convert to fraction form
    484,382/726,735 = 726,735/x
  3. Step 3: Cross multiply
    484,382x = 726,735 × 726,735
  4. Step 4: Simplify right side
    484,382x = 528,143,760,225
  5. Step 5: Solve for x
    x = 528,143,760,225/484,382
  6. Step 6: Final answer
    x = 1,090,345.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.