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Finding the Third Proportional to 187,621 and 410,937

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Solution

The third proportional to 187,621 and 410,937 is: 900,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,621 : 410,937 = 410,937 : x
  2. Step 2: Convert to fraction form
    187,621/410,937 = 410,937/x
  3. Step 3: Cross multiply
    187,621x = 410,937 × 410,937
  4. Step 4: Simplify right side
    187,621x = 168,869,217,969
  5. Step 5: Solve for x
    x = 168,869,217,969/187,621
  6. Step 6: Final answer
    x = 900,054.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.