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Finding the Third Proportional to 307,624 and 465,535

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Solution

The third proportional to 307,624 and 465,535 is: 704,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,624 : 465,535 = 465,535 : x
  2. Step 2: Convert to fraction form
    307,624/465,535 = 465,535/x
  3. Step 3: Cross multiply
    307,624x = 465,535 × 465,535
  4. Step 4: Simplify right side
    307,624x = 216,722,836,225
  5. Step 5: Solve for x
    x = 216,722,836,225/307,624
  6. Step 6: Final answer
    x = 704,505.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.