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Finding the Third Proportional to 207,621 and 454,013

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Solution

The third proportional to 207,621 and 454,013 is: 992,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,621 : 454,013 = 454,013 : x
  2. Step 2: Convert to fraction form
    207,621/454,013 = 454,013/x
  3. Step 3: Cross multiply
    207,621x = 454,013 × 454,013
  4. Step 4: Simplify right side
    207,621x = 206,127,804,169
  5. Step 5: Solve for x
    x = 206,127,804,169/207,621
  6. Step 6: Final answer
    x = 992,808.07

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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.