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Finding the Third Proportional to 210,384 and 461,532

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Solution

The third proportional to 210,384 and 461,532 is: 1,012,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,384 : 461,532 = 461,532 : x
  2. Step 2: Convert to fraction form
    210,384/461,532 = 461,532/x
  3. Step 3: Cross multiply
    210,384x = 461,532 × 461,532
  4. Step 4: Simplify right side
    210,384x = 213,011,787,024
  5. Step 5: Solve for x
    x = 213,011,787,024/210,384
  6. Step 6: Final answer
    x = 1,012,490.43

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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.