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Finding the Third Proportional to 175,626 and 414,396

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Solution

The third proportional to 175,626 and 414,396 is: 977,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,626 : 414,396 = 414,396 : x
  2. Step 2: Convert to fraction form
    175,626/414,396 = 414,396/x
  3. Step 3: Cross multiply
    175,626x = 414,396 × 414,396
  4. Step 4: Simplify right side
    175,626x = 171,724,044,816
  5. Step 5: Solve for x
    x = 171,724,044,816/175,626
  6. Step 6: Final answer
    x = 977,782.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.