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Finding the Third Proportional to 393,616.13 and 626,626.13

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Solution

The third proportional to 393,616.13 and 626,626.13 is: 997,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,616.13 : 626,626.13 = 626,626.13 : x
  2. Step 2: Convert to fraction form
    393,616.13/626,626.13 = 626,626.13/x
  3. Step 3: Cross multiply
    393,616.13x = 626,626.13 × 626,626.13
  4. Step 4: Simplify right side
    393,616.13x = 392,660,300,532.52
  5. Step 5: Solve for x
    x = 392,660,300,532.52/393,616.13
  6. Step 6: Final answer
    x = 997,571.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.