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Finding the Third Proportional to 484,405 and 726,769.50

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Solution

The third proportional to 484,405 and 726,769.50 is: 1,090,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,405 : 726,769.50 = 726,769.50 : x
  2. Step 2: Convert to fraction form
    484,405/726,769.50 = 726,769.50/x
  3. Step 3: Cross multiply
    484,405x = 726,769.50 × 726,769.50
  4. Step 4: Simplify right side
    484,405x = 528,193,906,130.25
  5. Step 5: Solve for x
    x = 528,193,906,130.25/484,405
  6. Step 6: Final answer
    x = 1,090,397.30

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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.