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Finding the Third Proportional to 210,433 and 450,412

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Solution

The third proportional to 210,433 and 450,412 is: 964,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,433 : 450,412 = 450,412 : x
  2. Step 2: Convert to fraction form
    210,433/450,412 = 450,412/x
  3. Step 3: Cross multiply
    210,433x = 450,412 × 450,412
  4. Step 4: Simplify right side
    210,433x = 202,870,969,744
  5. Step 5: Solve for x
    x = 202,870,969,744/210,433
  6. Step 6: Final answer
    x = 964,064.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.