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Finding the Third Proportional to 289,767 and 627,769.50

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Solution

The third proportional to 289,767 and 627,769.50 is: 1,360,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,767 : 627,769.50 = 627,769.50 : x
  2. Step 2: Convert to fraction form
    289,767/627,769.50 = 627,769.50/x
  3. Step 3: Cross multiply
    289,767x = 627,769.50 × 627,769.50
  4. Step 4: Simplify right side
    289,767x = 394,094,545,130.25
  5. Step 5: Solve for x
    x = 394,094,545,130.25/289,767
  6. Step 6: Final answer
    x = 1,360,039.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.