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Finding the Third Proportional to 300,737.50 and 626,355

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Solution

The third proportional to 300,737.50 and 626,355 is: 1,304,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,737.50 : 626,355 = 626,355 : x
  2. Step 2: Convert to fraction form
    300,737.50/626,355 = 626,355/x
  3. Step 3: Cross multiply
    300,737.50x = 626,355 × 626,355
  4. Step 4: Simplify right side
    300,737.50x = 392,320,586,025
  5. Step 5: Solve for x
    x = 392,320,586,025/300,737.50
  6. Step 6: Final answer
    x = 1,304,528.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.